Authors
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S. Roy
Department of Mathematics, Jadavpur University, Kolkata-700032, India
Author
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S. Dey
Department of Mathematics, Bidhan Chandra College, Asansol - 4, West Bengal-713304 , India
Author
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A. Bhattacharyya
Department of Mathematics, Jadavpur University, Kolkata-700032, India
Author
Keywords:
Yamabe soliton, conformal Yamabe soliton, -Yamabe soliton, torse-forming vector field, torqued vector field,
Subjects:
53C21, 53C25, 53B50, 35Q51
Abstract
The goal of this paper is to study conformal Yamabe soliton and -Yamabe soliton, whose potential vector field is torse forming. Here, we have characterized conformal Yamabe soliton admitting potential vector field as torse forming with respect to Riemannian connection, semi-symmetric metric connection and projective semi-symmetric connection on Riemannian manifold. We have also shown the nature of -Yamabe soliton with torse forming vector field on Riemannian manifold admitting Riemannian connection. Lastly we have developed an example to corroborate some theorems regarding Riemannian connection on Riemannian manifold.
