On $W_{9}-$Curvature Tensor of Generalized Sasakian-Space-Forms


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Authors

  • Shyam Kishor Department of Mathematics and Astronomy, University of Lucknow, Lucknow, Uttar Pradesh, India
  • Pushpendra Verma Department of Mathematics and Astronomy, University of Lucknow, Lucknow, Uttar Pradesh, India
  • Puneet Kumar Gupt Department of Mathematics and Astronomy, University of Lucknow, Lucknow, Uttar Pradesh, India

Keywords:

Generalized Sasakian-space form, $W_{9}-$ curvature tensor, Concircular curvature tensor, Ricci tensor, $\eta -$Einstein Manifold, scalar curvature

Abstract

The object of the present paper is to study generalized Sasakian-space-forms satisfying certain curvature conditions on $W_{9}-$ curvature tensor. In this paper, we study $W_{9}-$ semisymmetric, $W_{9}-$flat, $\xi -W_{9}-$ flat, generalized Sasakian-space-forms satisfying $I(\xi ,X).S=0,$ $I(\xi ,X).R=0,$ $I(\xi ,X).P=0$ and $I(\xi ,X).\widetilde{C}=0.$

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Published

15-10-2017

How to Cite

Shyam Kishor, Pushpendra Verma, & Puneet Kumar Gupt. (2017). On $W_{9}-$Curvature Tensor of Generalized Sasakian-Space-Forms. International Journal of Mathematics And Its Applications, 5(4 - A), 103–112. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/1244

Issue

Vol. 5 No. 4 - A (2017)

Section

Research Article

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