Some Types of Weakly Ricci Symmetric Riemannian Manifolds
General Mathematics
2021-06-28 v1
Abstract
In this paper we discuss when a quasi-conformally flat weakly Ricci symmetric manifold (of dimension greater than 3) becomes a manifold of hyper quasi-constant curvature, a quasi-Einstein manifold and a manifold of quasi-constant curvature. Also we discuss when a pseudo projectively flat weakly Ricci symmetric manifold (of dimension greater than 3) becomes pseudo-quasi constant curvature and a quasi-Einstein manifold, and when a W2-flat weakly Ricci symmetric manifold (of dimension greater than 3) becomes a quasi-Einstein manifold.
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Cite
@article{arxiv.2106.13597,
title = {Some Types of Weakly Ricci Symmetric Riemannian Manifolds},
author = {Payel Karmakar and Arindam Bhattacharyya},
journal= {arXiv preprint arXiv:2106.13597},
year = {2021}
}
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9 pages