The derivation formulas and equations for an affine space structure from the point of view of smooth manifolds
Using the derivation formulas of Akivis and the Laptev structure equations for smooth manifolds, two methods yield corresponding formulas and equations for an affine space are received. The hierarchy of smooth manifolds and a principal bundle of linear coframes over a smooth manifold are used.
1. Столяров ...
Akivis derivation formulas and Laptev structure equations on the surface of an affine space
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Shevchenko Yu.
Akivis derivation formulas, Laptev structure equations, holonomic smooth manifold, surface of an affine space, tangent spaces of higher orders
24-31
About geometrical objects fields of the -framed hypersurface of the projective space
... Калининград, 2017. Вып. 48. С. 95—104.
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Popov Ju.
structure equations of Laptev; fundamental-group connection, the second order curvature object; semi-holonomic smooth manifold
16-23
Differential comparisons for the components of the curvature object of affine connection of the second order
... Голономные и полуголономные 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