On one problem of connections in the space of non-symmetric affine connection and its subspace
Let XM be a submanifold of a differentiable manifold XN (XM ? XN). If on XN a non-symmetric affine connection L is defined by coefficients Lijk ? Likj and on XM a non-symmetric basical tensor g(g?? ? g??) is given, in the present paper we investigate the problem: Find a relation between induced connection L from LN into XM end the connection ??, defined by the tensor 1 in XM. The solutions is given in the Theorem 3.1., that is by the equation (3.9). Some examples are constructed.
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