On special weakly M-projective symmetric manifolds

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Kishor Shyam; Verma Anoop Kumar

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Journal Paper

Paper Information

Journal: Journal of Finsler Geometry and its Applications Year:2024 | Volume:5 | Issue:2 Page(s): 48-54

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Information Journal Paper

Title

On special weakly M-projective symmetric manifolds

Author(s)

Kishor Shyam | Verma Anoop Kumar | Issue Writer Certificate

Keywords

M-projective curvature tensor

Curvature Tensor. Ricci tensor

Abstract

The notion of a weakly symmetric and weakly projective symmetric Riemannian manifolds have been introduced by Tamassy and Binh [11], [12] and then after studied by so many authors such as De, Shaikh and Jana, Shaikh and Hui, Shaikh, Jana and Eyasmin ([1], [3], [4], [5], [6], [7], [8]). Recently, Singh and Khan [10] introduced the notion of Special weakly symmetric Riemannian manifolds and denoted such manifold by (SW S)n. A. U. Khan and Q. Khan found some results On Special Weakly Projective Symmetric Manifolds [13]. And P. Verma, P. Kanaujia and S. Kishor found some results on M-projective curvature tensor on (k, µ)-Contact Space Forms and Sasakian-Space-Forms ([16], [17]). Motivated from the above, we have studied the nature of Ricci tensor R of type (1, 1) in a special weakly M-projective symmetric Riemannian manifold (SWMS)n and also explored some interesting results on (SWMS)n.

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