On Kenmotsu metric spaces satisfying some conditions on the $W_7$-curvature tensor

Pakize Uygun; Mehmet Atceken

doi:10.26637/mjm1104/008

Abstract

This research article is about the geometry of the Kenmotsu manifold. Some important properties such as the $W_{7}\cdot W_{5}=0$, $W_{7}\cdot W_{6}=0$, $W_{7}\cdot W_{7}=0$ , $W_{7}\cdot W_{8}=0$, $ W_{7}\cdot W_{9}=0$ and $\ W_{7}\cdot W_{0}^{\star }=0$ curvature conditions of the Kenmotsu manifold have been investigated.

Keywords:

kenmotsu manifold, n-Einstein manifold, Einstein manifold, Riemannian curvature tensor, $\eta$-Einstein manifold

Mathematics Subject Classification:

53C25, 53C35

Authors Imprint References Funding Related Articles Downloads

Pakize Uygun Department of Mathematics, Faculty of Arts and Sciences, Aksaray University, 68100, Aksaray, Turkey. https://orcid.org/0000-0001-8226-4269
Mehmet Atceken Department of Mathematics, Faculty of Arts and Sciences, Aksaray University, 68100, Aksaray, Turkey. https://orcid.org/0000-0002-1242-4359

Pages: 447-456
Date Published: 01-10-2023
Vol. 11 No. 04 (2023): Malaya Journal of Matematik (MJM)

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