Some results on $\eta$-Yamabe solitons in 3-dimensional trans-Sasakian manifold

Authors

  • S. Roy Department of Mathematics, Jadavpur University, Kolkata, India https://orcid.org/0000-0003-2236-8482
  • S. Dey Department of Mathematics, Bidhan Chandra College, Asansol, West Bengal, India
  • A. Bhattacharyya Department of Mathematics, Jadavpur University, Kolkata, India
https://doi.org/10.15330/cmp.14.1.158-170

Keywords:

Yamabe soliton, $\eta$-Yamabe soliton, $\eta$-Einstein manifold, trans-Sasakian manifold
Published online: 2022-06-19

Abstract

The object of the present paper is to study some properties of 3-dimensional trans-Sasakian manifold whose metric is $\eta$-Yamabe soliton. We have studied here some certain curvature conditions of 3-dimensional trans-Sasakian manifold admitting $\eta$-Yamabe soliton. Lastly, we construct a 3-dimensional trans-Sasakian manifold satisfying $\eta$-Yamabe soliton.

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How to Cite
(1)
Roy, S.; Dey, S.; Bhattacharyya, A. Some Results on $\eta$-Yamabe Solitons in 3-Dimensional Trans-Sasakian Manifold. Carpathian Math. Publ. 2022, 14, 158-170.