Abstract
In a space LN of asymmetric affine connection by equations (1.1) a submanifold XM ? LN is defined. On XM and on pseudonormal submanifold NXN-M asymmetric induced connections are defined. Because of asymmetry of induced connection it is possible to define four kinds of covariant derivative. In this work we are considering integrability conditions of derivational equations [4] obtained by help of the 1st and the 2nd kind of covariant derivative. The corresponding Gauss-Codazzi equations are obtained too.
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