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

Abstract

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 [20] 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 t h kind.2010 Mathematics Subject Classification: 53C25; 53A45; 53B05.