τ-Curvature On Kenmotsu Manifold

Venkatesha .; S V Vishnuvardhana

doi:10.56424/jts.v8i01.10554

Venkatesha . Department of Mathematics Kuvempu University,Shankaraghatta - 577 451,Shimoga, Karnataka, India
S V Vishnuvardhana Department of Mathematics Kuvempu University,Shankaraghatta - 577 451,Shimoga, Karnataka, India

DOI: https://doi.org/10.56424/jts.v8i01.10554

Keywords: τ -curvature tensor, τ -ϕ-symmetric Kenmotsu manifold, extended generalized τ -ϕ-recurrent Kenmotsu manifold, η-Einstein manifold, τ -ξ-flat Kenmotsu manifold

Abstract

In the present paper we have obtained the necessary and sufficient condition for a extended generalized τ -ϕ-recurrent Kenmotsu manifold to be a generalized ricci-recurrent manifold. Furthermore, we have studied τ -ϕ-symmetric Kenmotsu manifold, τ -ξ-flat Kenmotsu manifold and a Kenmotsu manifold satisfying τ (X, Y ) · R = 0.