Conformal Ricci Soliton in Generalized Sasakian-Space-Forms


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Authors

  • K. H. Arun Kumar Department of Mathematics, Don Bosco Institute of Technology, Karnataka, India.
  • K. T. Pradeep Kumar Department of Mathematics, A C S College of Engineering, Karnataka, India.

Keywords:

Generalized Sasakian-space-forms, Conformal Ricci soliton, $M$-projective curvature tensor, Pseudo projective curvature tensor

Abstract

In this paper we consider a generalized Sasakian-space-forms with $M$-projective curvature tensor, Pseudo projective curvature tensor admitting Conformal Ricci soliton. We have found that $M$-projective Ricci symmetric generalized Sasakian-space-forms is a quadratic equation. $\xi$-$M$-projectively flat generalized Sasakian-space-forms. We have proved that a pseudo projective semi symmetric generalized Sasakian-space-forms is $\eta$-Einstein manifold.

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Published

02-04-2022

How to Cite

K. H. Arun Kumar, & K. T. Pradeep Kumar. (2022). Conformal Ricci Soliton in Generalized Sasakian-Space-Forms. International Journal of Mathematics And Its Applications, 10(1), 9–15. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/8

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Section

Research Article