Generalized Semi-Symmetric Non-Metric Connections of Non-Integrable Distributions
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.
2009 ◽
Vol 46
(5)
◽
pp. 895-903
2016 ◽
Vol 2
(12)
◽
pp. 194