Some curvature tensors in N(k)-contact metric manifold

  • Riddhi Jung Shah Department of Mathematics, Janata Campus,Dang, Nepal Sanskrit University
Keywords: contact manifold, N(k)-contact metric manifold, eta-Einstein

Abstract

The purpose of this paper is to study W7and W9-curvature tensors on N(k)-contact metric manifolds. We prove that a N(k)-contact metric manifold satisfying the condition W7( xi,X).W9=0 is eta-Einstein manifold. We also obtain the Ricci tensor S of type (0, 2) for phi-W9flat and divW9=0 conditions on N(k)-contact metric manifolds. Finally, we give an example of 3-dimensional N(k)-contact metric manifold.

BIBECHANA 16 (2019) 55-63

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Author Biography

Riddhi Jung Shah, Department of Mathematics, Janata Campus,Dang, Nepal Sanskrit University
Lecturer in Mathematics, Department of Mathematics, Janata Campus,Dang, Nepal Sanskrit University
Published
2018-11-22
How to Cite
Shah, R. (2018). Some curvature tensors in N(k)-contact metric manifold. BIBECHANA, 16, 55-63. https://doi.org/10.3126/bibechana.v16i0.19674
Section
Research Article