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. nema