A semicanonical normal affine connection associated with the distribution
... planes is considered. The way of giving normal generalized affine connection associated with the distribution is proposed. It is shown that this connection is given by connection tensor and normal linear connection object. They define its curvature and torsion tensors. Semicanonical case is investigated when subtensor of the connection tensor vanishes. Two notions are
involved: non-degeneration tensor of torsion and semiholonomical distribution. It is proved that vanishing of non-degeneration tensor implies ...
The torsion tensor of an analog of the Neifeld connection on a Grass-mannian-like manifold of centered planes
... 45. С. 23—29.
5. Шевченко Ю. И. Оснащения центропроективных многообразий. Калинин¬град, 2000.
projective space, Grassmannian-like manifold, connection, Neifeld connection, torsion tensor.
Normal generalized affine connection associated with the Grassman-like manifold of centred planes
Оснащения центропроективных многообразий. Калининград, 2000.
Belova O. O.
projective space, Grassman-like manifold, normal generalized affine connection, torsion tensor,
Semiholonomical, holonomical and trivial spaces of affine connection
... torsion A’n,n and in the space without curvature ‘An,n , besides the locally affine space Ά’n,n is trivial. Tensor of non-holonomicity of the space An,n is introduced. Vanishing of this tensor makes the space holonomic, H n n A . Also curvature tensor of associated space of affine connection without torsion A’n,n was introduced. It’s vanishing characterizes trivial space of affine connection, Tn n A .
1. Картан Э. Пространства аффинной, проективной и конформной связности. Казань,...