A semicanonical normal affine connection associated with the distribution
... распределением плоскостей в проективном пространстве. Калининград, 2009.
Shevchenko Yu. I.
projective space, distribution of planes, affine connection, linear connection, connection object,
curvature tensor, torsion tensor, semiholonomity.
166-172
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.
normalization, bundle, subbundle, affine connection, centrorojective connection (normal connection), curvature 2 form, curvature tensors of connection
18-24
Curvature of 2nd type induced on plane distribution
... curvature of group connection of 2-nd type, induced by composite clothing of plane distribution, is constructed. It is proved, that a immovability of Cartan’s plane and Bortolotti’s hyperplane in case of holonomic distribution attracts the vanishing of curvature tensor of 2-nd type.
1. Лаптев Г. Ф., Остиану Н. М. Распределения m-мерных линейных элементов в пространстве проективной связности I // Тр. геом. семинара ...
Normal generalized affine connection associated with the Grassman-like manifold of centred planes
...
Шевченко
Ю. И.
Оснащения центропроективных многообразий. Калининград, 2000.
Belova O. O.
projective space, Grassman-like manifold, normal generalized affine connection, torsion tensor,
curvature tensor.
156-159
Representation of projective connections on the SH -distribution of the projective space
Projective connections defined by projection and associated to subbundles , L, E of the strong dual threefold distribution (the SH -distribution) of the projective space are constructed. Coverages of torsion-curvature tensors components of the constructed projective connections , , of subbundles , L, E of the SH -distribution respectively are given. The way of creation of dual projective connections , , corresponding to connections , , ...
Normal connections of the L-subbundle of a strongly mutual distribution of the projective space
... : сб. статей по материалам XXVII международной конференции. Новосибирск, 2015. № 2(26). С. 33—47.
Popov Ju., Volkova S.
distribution, projective connection, subbundle, torsion-curvature tensor, projective connection object, geometrical object, geometrical object coverage
5-17