Abstract
In this work, the cases of non-integrable distributions in a Riemannian manifold with the first generalized semi-symmetric non-metric connection and the second generalized semi-symmetric non-metric connection are discussed. We obtain the Gauss, Codazzi, and Ricci equations in both cases. Moreover, Chen’s inequalities are also obtained in both cases. Some new examples based on non-integrable distributions in a Riemannian manifold with generalized semi-symmetric non-metric connections are proposed.
Funder
National Natural Science Foundation of China
Subject
Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)
Reference22 articles.
1. Sub-Spaces of a Space with Torsion
2. On semi-symmetric metric connection;Yano;Rev. Roumaine Math. Pures Appl.,1970
3. Hypersurfaces of a Riemannian manifold with semi-symmetric metric connection;Imai;Tensor,1972
4. Notes on semi-symmetric metric connections;Imai;Tensor,1972
5. Submanifolds of a Riemannian manifold with semisymmetric metric connections
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