Canonical almost geodesic mappings π_2(e), e=±1, of spaces with affine connection onto m-symmetric spaces

[摘要] In the paper we consider canonical almost geodesic mappings π2(e), e =±1, of spaces with affine connection onto 2-symmetric, 3-symmetric and m-symmetric spaces. The main equations for the mappings have been obtained as closed systems of PDEs of Cauchy type in covariant derivatives. We have found the maximum numbers of essential parameters which the general solutions of the systems depend on.

[学科分类] 数学（综合）

[关键词] canonical almost geodesic mapping;fundametal equation;m-symmetric space