Journal Name:
- European Journal of Pure and Applied Mathematics
Key Words:
Author Name | University of Author | Faculty of Author |
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Abstract (2. Language):
In this study, we consider a manifold equipped with semi symmetric metric connection
whose the torsion tensor satisfies a special condition. We investigate some properties of the Ricci tensor
and the curvature tensor of this manifold . We obtain a necessary and sufficient condition for the mixed
generalized quasi-constant curvature of this manifold. Finally, we prove that if the manifold mentioned
above is conformally flat, then it is a mixed generalized quasi- Einstein manifold and we prove that
if the sectional curvature of a Riemannian manifold with a semi symmetric metric connection whose
the special torsion tensor is independent from orientation chosen, then this manifold is of a mixed
generalized quasi constant curvature.
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FULL TEXT (PDF):
- 2
153-161