Some characterizations of quasi-Einstein and twisted product manifolds

Authors

Keywords:

twisted product manifold, quasi-Einstein manifold

Abstract

We first consider quasi-Einstein manifolds with concircular generator vector field. Secondly, we get a result for a twisted product alternative to a result of Ponge- Reckziegel [13]. Then we study quasi-Einstein manifolds on twisted product structures. In particular, we examine the effect of the condition of quasi-Einstein on a twisted product to its factor manifolds. Also, we obtain some conditions for a twisted product satisfying the quasi-Einstein condition to be a warped or a direct product.

Author Biography

Adara Monica Blaga, West University of Timisoara

Department of Mathematics, Faculty of Science, West University of Timisoara, Bld. V.
Parvan, 300223 Timisoara, Romania

International Journal of Maps in Mathematics Volume 6 Issue 1 2023

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Published

2023-02-23

How to Cite

Traore, M., Taştan, H. M., & Blaga, A. M. (2023). Some characterizations of quasi-Einstein and twisted product manifolds. International Journal of Maps in Mathematics, 6(1), 54–66. Retrieved from https://simadp.com/journalmim/article/view/129

Issue

Vol. 6 No. 1 (2023): International Journal of Maps in Mathematics

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Articles

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