Normalization of basic structural subbundle of distribution in second order differential neighborhood
Norden inner normalization fields of basic structural subbundle of hyperband distribution are constructed in second order differential neighborhood of affine space. It is showed that first order normal (L-virual affine normal, Blashke normal, Trenson normal) corresponding ...
Normalization of the basic structural subbundles of the H(, L)-distribution of affine space
... class of the grouped hyperplane distributions — the H(, L)-distribution of affine space. He introduces Bompiani — Pantazi correspondences associated with the main structural subbundles of the H(, L)-distribution of affine space. Norden’s normalizations of the main structural subbundles in the differential 1st and 2nd order neighbourhoods of H(, L)-distribution are constructed.
1. Попов Ю. И. Скомпонованные гиперплоскостные распределения ...
A Grouped Hyperplane Distribution of an Affine Space
In this article, I determine the grouped hyperplane distribution of 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 ...
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.
...
The curvature object of the fundamental-group connection of the second-order
The special class of (-framed) hypersurfaces of the projective space Pn — is defined, and its existence theorem is proved. In the differential 3rd order neighbourhood: (a) Norden–Timofeyev's normalization of the hypersurface; (b) two Norden's normalizations of the tangent -subbundle; (c) in each L-plane three one-parameter sheaves of its Norden's 2nd kind normals–are constructed internally invariantly.
1. Лаптев Г. Ф. Дифференциальная ...
About fields of geometrical objects of the H -distribution of the affine space
A creation of geometric objects of the hyperband distribution (H -distribution) of affine space An in the differential 1–3rd orders neighborhoods is continued. As a result a number of new normalization in Norden's sense of the main structural subbundles of this H -distribution are constructed (are found) internally invariantly.
1. Попов Ю. И. Поля геометрических объектов гиперполосного ...
Problems of transliteration and translation of Kazakh geographical names
... S., 2014. Language planning in Kazakhstan: The case of ergonyms as another scene of linguistic landscape of Astana. Language Problems and Language Planning, 38 (1), pp. 42—57,
https://doi.org/10.1075/
lplp.38.1.03akz.
Dambuev, I. A., 2016. Normalization of toponyms in the Republic of Buryatia. Vestnik Novosibirskogo gosudarstvennogo universiteta. Ser.: Lingvistika i mezhkul'turnaya kommunikatsiya [NSU Vestnik. Series: Linguistics and Intercultural Communication], 14 (2), pp. 13—20 (in ...