The derivation formulas and equations for an affine space structure from the point of view of smooth manifolds
... многообр. фигур. Калининград, 2015. Вып. 46. С. 168—177.
12. Josef Mikes et al. Differential geometry of special mappings. Olomouc, 2015.
13. Shevchenko Ju. I., Skrydlova E. V. About non-holonomicity of quotient manifold of holonomic distribution on semi-holonomic smooth manifold // Междун. конф. по алгебре, анализу и геометрии. Казань, 2016. С. 67—68.
Shevchenko Yu.
Akivis derivation formulas, Laptev structure equations, secondorder vectors, semi-holonomic smooth manifold,...
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 М. А. Многомерная дифференциальная геометрия. Калинин, 1977.
2. Евтушик Л. Е. Уникальная школа Картана — Лаптева, ее сбережение ...
Differential comparisons for the components of the curvature object of affine connection of the second order
... подмногообразия гладких многообразий // Диф. геом. многобр. фигур. Калининград, 2015. Вып. 46. С. 168—177.
Ryazanov N.
Laptev structure equations, affine connection, curvature object of the second order, holonomic smooth manifold, semi-holonomic smooth manifold, non-holonomic smooth manifold
23-29
About geometrical objects fields of the -framed hypersurface of the projective space
... 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 ... ...
Popov Ju.
structure equations of Laptev; fundamental-group connection, the second order curvature object; semi-holonomic smooth manifold
16-23