Introduction of connections on a hypersurface ()
The paper introduces internal affine (tangent) and normal (centroprojective) connections on normalized (Norden’s framed) hypersurface n-1() Pn in its various subbundles. Coverages of the corresponding curvature 2 forms and curvature tensors of its connections are given.
Popov Yu. I.
normalization, bundle, subbundle,...
The effect of cross-border fibre-optic transitions on the information and communication connectivity of the Russian cities
The Russian cities are connected by many telecommunication lines. The information flow between any two cities can be sent via multiple routes, including those running through the networks of other countries. Cross-border transitions are created to connect the Russian lines ...
A semicanonical normal affine connection associated with the distribution
In manydimensional projective space distribution of planes is considered. The way of giving normal generalized affine connection associated with the distribution is proposed. It is shown that this connection is given by connection tensor and normal linear connection object. They define its curvature and torsion tensors. Semicanonical case is investigated when subtensor ...
About generalizations of the Cartan projective connection on smooth manifold
The Laptev projective structure of the 1st order presented a fibering of special linear coframes with multidimensional gluing is considered. The Laptev linear connection by means of the object containing a tensor is set in this fibering. If the tensor vanishes we have preprojective connection from which canonical connection is marked out. The Cartan projective connection and its canonical version are obtained ...
Giving the 1st order affine connection by means of the 2nd order vector-valued forms
Affine connection is given by 2nd order vectors called horizontal. Vertical and horizontal forms of 2nd order are entered for 1st order affine connection. It is proved that symmetric affine connection in the bundle of tangent linear frames defines vertical linear ...
Representation of projective connections on the SH -distribution of the projective space
Projective connections defined by projection and associated to subbundles , L, E of the strong dual threefold distribution (the SH -distribution) of the projective space are constructed. Coverages of torsion-curvature tensors components of the constructed projective ...
Fundamental-group connections, induced by composite clothing of family of centered planes in projective space
This paper continues the cycle of works dealing with connections on a smooth family of centered planes in projective space. It is shown that composite clothing of such a family induces three-parameter bunch of bundles of fundamental-group connections. One induced connection is allocated from each of this ...
About geometrical objects fields of the -framed hypersurface of the projective space
The second-order curvature object contains the curvature object of the fundamental-group connection defined in the principal bundle; the curvature object of an affine connection over a manifold; second-order components. Differential comparisons for the components of the object of curvature of the second- order fundamental-group connection ...
Normal generalized affine connection associated with the Grassman-like manifold of centred planes
In projective space a Grassman-like manifold of centred planes is considered. The normal affine connection, associated with the manifold, is set in generalized fibering. Field of the affine connection object defines torsion and curvature tensors contained one elementary and one simple subtensor every. A canonical case of normal generalized affine ...
Semiholonomical, holonomical and trivial spaces of affine connection
In n-dimensional space of affine connection An,n with Cartan’s structure equations Ricci’s and Bianchi’s identities were received. Their invariance has been shown. After prolongation of the structure equations using Laptev’s lemma semiholonomical, holonomical and trivial manifolds ...
Differential comparisons for the components of the curvature object of affine connection of the second order
Differential comparisons for the components of the curvature object of affine connection of the second order are received. These comparisons show that, in the general case, the second-order curvature object forms a geometric object only in conjunction with the first-order curvature object and the second-order connectivity object....
About Coinciding and Interpretation of Connections Induced on an Family of Centered Planes
Family of centered planes in projective space is investigated. It is shown that composite clothing of this family induces 6 bunches of group connections. In each of this bunches one connection is allocated. Their conditions of coinciding are found. Geometric interpretation each of them is done.
Бондаренко Е. В
. Связности на многообразии центрированных ...
Current and Prospective Transport Connections between Poland’s Border Voivodeships and Russia’s Kaliningrad Region
... aimed to create new transport links between the border regions. These projects differ in timelines, scopes, and the range of resources required. In our opinion, the most promising project in a short-term perspective is the establishment of a waterway connection between Russian and Polish ports. The project includes the seaport terminal in Pionersky in the Kaliningrad region. Another promising project is the launch of a crossborder passenger railway connection using a European gauge.
Covariant differentials and covariant derivatives associated with surface of projective space
The paper is concerned with m-dimensional surface in n-dimensional projective space. In studying fundamental-group connection Bianchi identities are found. It is proved that alternated covariant derivatives for the components of the first type connection object are equal to the corresponding components of the curvature tensor, and the ones of the third type vanish....
Normal connections of the L-subbundle of a strongly mutual distribution of the projective space
... appearance X r Mm Hn1, where r m n 1. This class is characterized by the fact that the pairs (, ), (L, ), (M, E) of the main structural subbundles of this threefold distribution are mutual. Invariant dual normal connections induced in bundles of the 1st and 2nd kind normals of the L-subbundle of this VH -distribution are examined.
1. Попов Ю. И. Сильно взаимные трехсоставные распределения проективного ...
Eliseeva N. A., Popov Y. I.
The authors construct Foss and Green's normalizations in Norden's sense internally invariantly. The research sets tangent affine connections and tangent central affine connections of the main structural subbundles of H(L, L)-distribution of affine space.
1. Попов Ю. И. Нормализация основных структурных подрасслоений H(L, L)-распределения ...
The torsion tensor of an analog of the Neifeld connection on a Grass-mannian-like manifold of centered planes
... Калининград, 2014. № 45. С. 23—29.
5. Шевченко Ю. И. Оснащения центропроективных многообразий. Калинин¬град, 2000.
projective space, Grassmannian-like manifold, connection, Neifeld connection, torsion tensor.
Hierarchies of smooth manifolds up to zeroth and first orders
... and Abelian group of Lie. Each of three sequences of the 1st order for the ho-lonomic, semi-holonomic and the non- holonomic smooth manifolds includes base of the parallelized bundle of linear coframes, in other words, base of space of expanded affine connection, base of space of affine connection torsion-free and affine space.
1. Лаптев Г. Ф. Основные инфинитезимальные структуры высших поряд-ков на гладком многообразии ...
The development of the industrial port complex of the Kaliningrad region
... Территориальный орган Федеральной службы государственной статистики по Калининградской области. Калининград, 2016. URL:
(дата обращения: 01.10.2016).
8. Социально-экономическое положение Калининградской области в 2015 г. : краткий ...
A Grouped Hyperplane Distribution of an Affine Space
... the affine space An (SH-distribution) and prove the relevant existence theorem. I perform internal normalizations of the main structural subbundles of the SH-distribution in first and second-order differential neighbourhoods. Normal and tangent affine connections of the main structural subbundles of the SH-distribution are introduced.
1. Попов Ю. И. О проективно-дифференциальной геометрии двухсоставного гиперполосного распределения ...
About radio station with reverse connect in duplex regime
On the basis of the analysis of principles of duplex system, the model of radio system with reverse connect is obtained. It provide the work of ten duplex channels on one frequency at one antenna in programmable regime of radio-station frequency change.
Гроднев И. И., Верник С. М.
Линии связи. М., 1992.
Features of connecting measuring devices with the software package Matlab
... application software package for recording and processing received signals. The basic device is a memory oscilloscope manufactured by «Tektronix», which has proven itself in laboratory experiments on radio spectroscopy. The proposed procedure for connecting the oscilloscope to the software package is a sequence of actions that are quite accessible to any user. At the same time, it can significantly increase the efficiency of using digital measuring devices in experimental technology.
On the interdisciplinary approach as used in German classes for PhD students
... the notion of interdisciplinarity in general and in relation to practical German classes. Special foreign scientific texts and basic models of the linguistic components of training process contribute to students’ awareness of the interdisciplinary connections in science.
1. Потёмина Т. А. Специальный текст для аспирантов в междисциплинарном аспекте // Вестник Балтийского федерального университета ...
Genre specificity of V. Maksimov’s novel “Farewell from Nowhere”: to the problem of spiritual tradition
The article analyses the genre of the autobiographical novel by Vl. Maksimova in the context of the spiritual tradition and in connection with the typology of literary heroes. The study reveals closeness of the novel-confession “Farewell from Nowhere” to the semantic form of “confession-deed” (M. Bakhtin), embodied in the ancient Russian “Teachings” by Vladimir ...
On the connection between the phenomena of corporeity and welfare in the adolescent self-awareness
This article considers two phenomena of adolescent self-adolescence: the awareness of one's bodily experience and psychological well-being. The author puts forward a hypothesis that these phenomena might be connected. An empirical study helps identify three groups of test persons: those with vital, conformal, and personal reflection types of bodily capacities. The article emphasizes the positive relation between the level of bodily capacity awareness and ...
Сoastal exclaves among enclosed territories of the world
... региональный продукт // Территориальный орган Федеральной службы государственной статистики по Калининградской области. URL:
%92 %D0 %A0 %D0 %9F.pdf (дата обращения: 24.04.2018).
40. Объем и динамика валового регионального продукта Республики ...
Connection in a tangent bundle to the frame bundle of manifold
... manifold. Brackets of the tangent vectors of this bundle are con-structed. A coordinate representation of the non-holonomic frame vectors is produced. Horizontal and vertical curvatures, torsions, and covariant derivatives are constructed in a homogeneous connection.
Бишоп Р., Криттенден Р. Геометрия многообразий. М., 1967.
2. Кобаяси Ш., Номидзу К. Основы дифференциальной геометрии. М., 1981. Т. 1.
3. Лаптев ...
Analysis methodology for the relationship between the water flow and river levels by determining the dependence
The article contains all the available data on average monthly discharges and water levels for the rivers under study, that provided the background for the hydrological series of these characteristics which are found to be in a close stochastic connection. Linear regression equations connect the average monthly discharges and water levels in the rivers under study. They also provide for the graphs of the relationship between the considered values, and the boundaries of their confidence intervals ...
Science and culture create the strongest connections between peoples and states: An interview with Ambassador Extraordinary and Plenipotentiary of the Republic of Serbia to Russia Slavenko Terzić
Entrepreneurial capital of the region: the concept, manifestations and spatial localisation
An important element of the explanation why an entrepreneur carries out high-risk transactions is the evaluation and analysis of her or his inner qualities. Thus, there is a need to identify the connection between entrepreneurial risk and capital. At the regional level, there is an ongoing academic discussion as to who the carrier of entrepreneurial capital is and how this capital can be measured and evaluated in view of its direct influence ...
About fields of geometrical objects connected with the complex central nondegenerate hyperquadrics
A field of some geometrical objects internally connected with a complex (n-parametrical family) of the central nondegenerate hyperquadrics in n-dimensional affine space are defined and their geometrical sense is found out.
1. Кретов М. В. Дифференцируемые многообразия,...
The External Economic Factor in the Development of Northwestern Regions: Institutional Support and an Impact Assessment
This research is warranted, since the Northwestern Federal District accounts for a significant proportion of Russia’s exports. The study aims to reveal the connection between the federal district’s external and internal economic development and to identify the extent to which institutional support for international economic cooperation facilitates brisk international trade. The authors consider international ...
Curvature of 2nd type induced on plane distribution
In many-dimensional projective space the plane distribution is considered. The curvature of group connection of 2-nd type, induced by composite clothing of plane distribution, is constructed. It is proved, that a immovability of Cartan’s plane and Bortolotti’s hyperplane in case of holonomic distribution attracts the vanishing of curvature tensor ...
The functional significance of modal evaluative component in the concept structure: The case of M. Bulgakov’s novel The Master and Margarita
This article analyses connections between modality and concept. The au-thor explains the way modal meanings are connected to concepts, stresses the functional value of modal meanings for concept structure, and considers the structure of concept, its nuclear, and interpretation ...
Kant on evil in the human nature
... and the due in his theory. The article has the following structure: first, the author emphasis that, for Kant, evil is a practical moral phenomenon unlike, for example, metaphysically interpreted evil. It is shown that the problem of evil is closely connected to that of the nature or essence of a human being. The article presents an analysis of Kant’s notion of human ‘nature’. It is emphasised that Kant understands ‘human nature’ as mere “subjective grounds” of the exercise of freedom....
The derivation formulas and equations for an affine space structure from the point of view of smooth manifolds
... гладких многообразий. Калининград, 1998.
8. Уорнер Ф. Основы теории гладких многообразий и групп Ли. М., 1987.
9. Catuogno P. On stochastic parallel transport and prolongation of connections // Revista de la Unión Mathemática Argentina. 1999. Vol. 41, №3. P. 107-118.
10. Emery M. An invitation to second-order stochastic differential geometry. 2007. URL:
(дата обращения: ...
The concept of “network” in the system of basic concepts of regional economic geography
... socioeconomic territorial system. The author examines economic networks as organic systems characterised by resistance to external effects and comprised of interconnected economic agents from one or several related industries. A concentration of strong connections within such network constitutes its core or a cluster. Based on a retrospective analysis of studies into the spatial organisation of economy, it is concluded that there is a need to examine network forms from the perspective of regional socioeconomic ...
The response of different plant life forms to natural environment changes
... V. S. 1981. The vegetation structure of the forest zone of the USSR. The system analysis. Nauka. Moscow. 344 p.
5. Sergeev L. I., Sergeeva K. A., Melnikov V. K. 1963. Some questions of the water mode of the tree plants. Water mode of plants in the connection with metabolism and productivity. AS USSR. Moscow, pp. 323—328.
6. Smolich, I. I. 2008. Water mode of plants. Belarusian State University. Minsk, pp. 67—86.
7. Summary for policymakers and technical summary to the third assessment report ...
The possibility of translation as the criterion of language development
The present paper deals with some aspects connected with the notion of language development. It is mentioned that among the criteria, defining its level, the possibility of rendering foreign texts (both literal ad special) is often used. In connection with this problem some views of Russian and ...
Simon Dach in the history of Königsberg University
This article considers the literary career of the famous East Prussian poet Simon Dach in connection with the history of Koenigsberg University. With the support of the ruling house of the Electorate of Branderburg and Prussia, Dach managed to obtain the position of a professor of poetry at the university, with which both his work and life ...
Sustainable development of the city territorial capital: adaptive policy through the geography of knowledge
... and individual subtypes, considering their specific features. The first type of cities “above average” is specified with high indicators of academic productivity, while for the first subtype they are supplemented by high indicators of scientific connectivity, citation and quality of publications. For the second subtype, these indicators are significantly lower. The second type of cities, “medium” or “transitional” have significant publication experience. However, the insufficient average ...
The development of ideas about the formation of Arctic sea fauna and its biogeographical connections
The author arrives at a conclusion on the vast biogeographical connections of the Arctic, Atlantic and Pacific faunas in the Phanerozoic faunas on the basis of the comparative analysis of modern and ancient communities of invertebrates and the changes in their habitats.
Беклемишев К. В....