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M - projective curvature tensor equipped with an ϵ-kenmotsu manifold

Year: 2025

Type: article

Abstract: In this paper, we studied the properties of ϵ-Kenmotsu manifolds that posses an M -projective curvature tensor. We have shown that ϵ-Kenmotsu manifolds with an M -projectively flat and irrotational M -projective curvature tensor are locally isometric to the hyperbolic space Hn(c), where c = −ϵ2. Additionally, we have investigate the condition R(X, Y ) · S = 0 for M -projectively flat ϵ-Kenmotsu manifolds. Then we focused on the analysis of ϵ-Kenmotsu manifolds with a conservative M -projective curvature tensor. Lastly, we have certain geometric results for ϵ-Kenmotsu manifolds that satisfy the relation M (X, Y ) · R = 0.

Source: Journal of Applied Science and Education (JASE)

DOI: 10.54060/a2zjournals.jase.103

Authors: N.V.C.Shukla, Mantasha

Institution: University of Lucknow

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4412870894

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