The differential and geometrical structures associated with the regular tangently r-framed hyperstrip of the projective space
-structures and almost contact structures in the tangent T-, -, L-subbundles of the regular tangently r-framed hyperstrip Hm of the n-dimensional projective space are introduced. Analytical signs and geometrical interpretations characterize the examined structures.
1. Фиников С. П. Метод внешних форм Картана в дифференциальной геометрии. М. ; Л....
Creation of the Norden normalization of the L-, E-subbundles of the SH -distribution of the projective space
Norden 1st and 2nd kind inner normals of the L-, E-subbundle of a special class (SH -distribution) of the regular threefold distributions (H -distributions) of the projective space are constructed.
1. Попов Ю. И. Сильно взаимные трехсоставные распределения проективного пространства // Вестник Балтийского федерального университета ...
The hierarchy of the subgroups of the linear group at isolation of one index value
Non effective, factor-effective and special-effective projective spaces are considered. In an non effective projective space the linear group is acting. When one index value is isolated in the Cartan structure equations of a linear group, the hierarchy of its seven subgroups is constructed.
1. Лумисте Ю....
Intrinsic clothing of a family of hyperplane elements with envelope surface of centers
In multidimensional projective space a family of hyperplane elements with envelope surface of centers is considered. The problem of construction of invariant clothing intrinsically attached to such a family intrinsically is set. This problem is solved in a special case characterized ...