Some Class of Sasakian Manifolds with Respect to the Quarter-Symmetric Metric Connection


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Authors

  • D. G. Prakasha Department of Mathematics, Karnatak University, Dharwad, India
  • B. S. Hadimani Department of Mathematics, Karnatak University, Dharwad, India

Keywords:

Sasakian manifold, $\mathcal{M}$-projective curvature tensor, quarter-symmetric metric connection, quasi-$\mathcal{M}$-projectively flat, $\phi$-$\mathcal{M}$-projectively flat

Abstract

We consider $\mathcal{M}$-Projective curvature tensor on a Sasakian manifolds with respect to the quarter-symmetric metric connection. Here, we obtain the condition for the Sasakian manifold to be quasi-$\mathcal{M}$-Projectively flat and $\phi$-$\mathcal{M}$-projectively flat with respect to the quarter-symmetric metric connection.

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Published

15-02-2016

How to Cite

D. G. Prakasha, & B. S. Hadimani. (2016). Some Class of Sasakian Manifolds with Respect to the Quarter-Symmetric Metric Connection. International Journal of Mathematics And Its Applications, 4(1 - B), 19–26. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/562

Issue

Vol. 4 No. 1 - B (2016)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.