Geodesic
Conformal Ricci soliton in para-Sasakian manifolds
Novi Sad Journal of Mathematics, Tome 52 (2022) no. 1.

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The object of the present paper is to study $M$-projective curvature tensor, pseudo projective curvature tensor, Ricci curvature tensor in para-Sasakian manifold admitting conformal Ricci soliton. We have studied $M$-projective semi symmetric para-Sasakian manifolds admitting a conformal Ricci soliton. We have found that an $M$-projective Ricci symmetric para-Sasakian manifold admitting a conformal Ricci soliton is a quadratic equation. We have proved that a pseudo projective semi symmetric para-Sasakian manifold admitting a conformal Ricci soliton is an $\eta $-Einstein manifold. We have also studied Ricci pseudo projectively symmetric para-Sasakian manifold.
Publié le :
DOI : 10.30755/NSJOM.09424
Classification : 53C15, 53C25, 35K65, 53C44, 53D15
Keywords: Conformal Ricci soliton, Para Sasakian manifold, $M$-projective curvature tensor, pseudo projective curvature tensor, Einstein manifold, $\eta$-Einstein manifold 
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Shyam Kishor; Pushpendra Verma. Conformal Ricci soliton in para-Sasakian manifolds. Novi Sad Journal of Mathematics, Tome 52 (2022) no. 1. doi : 10.30755/NSJOM.09424. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.09424/

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