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

Svetislav Mincic
2019 Filomat  
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
more » ... constructed. α i are projection factors, and C i A , C A i are affine pseudonormals of the submanifold X M .
doi:10.2298/fil1904185m fatcat:hd3uxadl3ba4rnq4g76yc6skje