Akivis derivation formulas and Laptev structure equations on the surface of an affine space
The smooth surface in affine space is considered. With the derivation formulas and equations of the structure of an affine space constructed three pairs Akivis-Laptev on the surface. It is shown that the surface of an affine space is a holonomic smooth manifold.
1. Акивис ...
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 ...
A geometric model of a three-parametrical family of ellipsoids
A three-parametrical family of ellipsoids in three-dimensional affine space with special geometric properties is considered. A geometrical model of this manifold is constructed.
1. Кретов М. В. Комплексы эллипсоидов в аффинном пространстве // Диф.геом. многообр....
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, ассоциированные с комплексами центральных невырожденных ...