Generalized Semi-Symmetric Non-Metric Connections of Non-Integrable Distributions
Copyright policy )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.
- Northeast Normal University China (People's Republic of)
Einstein distributions, Chen’s inequalities, non-integrable distributions, distributions with constant scalar curvature, semi-symmetric non-metric connections
Einstein distributions, Chen’s inequalities, non-integrable distributions, distributions with constant scalar curvature, semi-symmetric non-metric connections
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