$\eta$-Ricci solitons in a LP-Sasakian manifolds admitting quarter-symmetric metric connection

$\eta$-Ricci solitons in a LP-Sasakian manifolds admitting quarter-symmetric metric connection

The objective of this paper is to investigate the $\eta$-Ricci solitons in a LP-Sasakian manifolds admitting quarter-symmetric metric connection satisfying certain curvature conditions. We study the Ricci solitons in a LP-Sasakian manifolds admitting quarter-symmetric metric connection satisfying ce...

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Bibliographic Details
Main Authors: Abhishek Singh, Sangeeta Gautam, Lalit Kumar
Format: Article
Language:English
Published: Accademia Piceno Aprutina dei Velati 2025-07-01
Series:Ratio Mathematica
Subjects:
lp-sasakian manifolds, quarter-symmetric metric connection, $\eta$-ricci solitons, second order parallel tensor, $\eta$-einstein manifold.
Online Access:http://eiris.it/ojs/index.php/ratiomathematica/article/view/1632
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Summary:The objective of this paper is to investigate the $\eta$-Ricci solitons in a LP-Sasakian manifolds admitting quarter-symmetric metric connection satisfying certain curvature conditions. We study the Ricci solitons in a LP-Sasakian manifolds admitting quarter-symmetric metric connection satisfying certain conditions. Finally, we have given an example of 3-dimensional $\eta$-Ricci solitons in a LP-Sasakian manifolds with respect to quarter-symmetric metric connection.
ISSN:1592-7415
2282-8214

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