η-Ricci solitons in a LP-Sasakian manifolds admitting quarter-symmetric metric connection
DOI:
https://doi.org/10.23755/rm.v54i0.1632Keywords:
LP-Sasakian manifolds, Quarter-symmetric metric connection, $\eta$-Ricci solitons, Second order parallel tensor, $\eta$-Einstein manifold.Abstract
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.References
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