On Ricci solitons in LP-Sasakian manifolds

Authors

  • Riddhi Jung Shah Department of Mathematics, Janata Campus,Dang, Nepal Sanskrit University

Keywords:

Ricci soliton, LP-Sasakian manifold, -curvature tensor, -curvature tensor

Abstract

In this paper we study Ricci solitons in Lorentzian para-Sasakian manifolds. It is proved that the Ricci soliton in a (2n+1)-dimensinal LP-Sasakian manifold is shrinking. It is also shown that Ricci solitons in an LP-Sasakian manifold satisfying the derivation conditions R(ξ,X).W2 =0,W2 (ξ,X).W4 =0 and W4 (ξ,X).W2=0 are shrinking but are steady for the condition W2 (ξ,X).S=0. Finally, we give an example of 3-dimensional LP-Sasakian manifold and prove that the Ricci soliton is expanding and shrinking in this manifold.

BIBECHANA 17 (2020) 110-116

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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
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Published

2020-01-01

How to Cite

Shah, R. J. (2020). On Ricci solitons in LP-Sasakian manifolds. BIBECHANA, 17, 110-116. https://doi.org/10.3126/bibechana.v17i0.24341

Issue

Vol. 17 (2020)

Section

Research Articles

License

This license enables reusers to distribute, remix, adapt, and build upon the material in any medium or format for noncommercial purposes only, and only so long as attribution is given to the creator.

How to Cite

Shah, R. J. (2020). On Ricci solitons in LP-Sasakian manifolds. BIBECHANA, 17, 110-116. https://doi.org/10.3126/bibechana.v17i0.24341