MMN-1907.0

New integrability conditions of derivation equations in a subspace of asymmetric affine connection space

Milan Lj. Zlatanovic; Svetislav M. Mincic; Vladislava M. Stankovic;

Abstract

In the work [10] we obtained derivational equations of a submanifold of a space L_N with asymmetric affine connection. Based on asymmetry of the connection we define four kinds of covariant derivative and obtain four kinds of derivational equations. In [18] are examined integrability conditions of derivational equations, using the 1 st and the 2 nd kind of derivative, and in the present work we do it on the base of the 3 rd and 4 th kind.


Vol. 18 (2017), No. 1, pp. 525-536
DOI: https://doi.org/10.18514/MMN.2017.1907.0


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