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On one problem of connections in the space of non-symmetric affine connection and its subspace

2019
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Filomat
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Let X M be a submanifold of a differentiable manifold X N (X M ⊂ X N ). If on X N a non-symmetric affine connection L is defined by coefficients L i jk L i k j and on X M a non-symmetric basical tensor ( αβ βα ) is given, in the present paper we investigate the problem: Find a relation between induced connection L from L N into X M end the connection Γ, defined by the tensor in X M . The solutions is given in the Theorem 3.1., that is by the equation (3.9) . Some examples are constructed. α i

doi:10.2298/fil1904185m
fatcat:hd3uxadl3ba4rnq4g76yc6skje