Showing papers by "Arindam Bhattacharyya published in 2020"
TL;DR: In this article, the authors studied the properties of a 3-dimensional kenmotsu manifold whose metric is conformal π-Einstein soliton and showed that it admits conformal soliton.
Abstract: The object of the present paper is to study some properties of Kenmotsu manifold whose metric is conformal $\eta$-Einstein soliton. We have studied some certain properties of Kenmotsu manifold admitting conformal $\eta$-Einstein soliton. We have also constructed a 3-dimensional Kenmotsu manifold satisfying conformal $\eta$-Einstein soliton.
11 citations
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TL;DR: In this paper, a 3D trans-Sasakian manifold with the metric δ-Yamabe soliton was constructed and the curvature conditions of the manifold were studied.
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.
7 citations
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TL;DR: In this article, the authors studied the curvature properties of a K$a$hler manifold admitting a conformal Einstein soliton and showed that the curvatures of the manifold admit conformal soliton.
Abstract: The object of the present paper is to study some properties of para-K$a$hler manifold whose metric is conformal Einstein soliton. We have studied some certain curvature properties of para-K$a$hler manifold admitting conformal Einstein soliton.
6 citations
TL;DR: In this paper, the authors studied properties of (LCS) n -manifolds whose metric is Yamabe soliton and established some characterization when the soliton becomes sine.
Abstract: The object of the present paper is to study some properties of (LCS) n -manifolds whose metric is Yamabe soliton. We establish some characterization of (LCS) n -manifolds when the soliton becomes s...
2 citations
24 Sep 2020
TL;DR: In this paper, a conformal mapping between two generalized quasi-Einstein manifolds Vn and Vn is considered and some properties of these manifolds are examined, and some theorems about them are proved.
Abstract: Einstein manifolds form a natural subclass of the class of quasi-Einstein manifolds and plays an important role in geometry as well as in general theory of relativity. In this work, we investigate conformal mappings of generalized quasi-Einstein manifolds. We consider a conformal mapping between two generalized quasi-Einstein manifolds Vn and Vn. We also find some properties of this transformation from Vn to Vn and some theorems are proved. Considering this mapping, we examine some properties of these manifolds. After that, we also study some special vector fields under this mapping on these manifolds and some theorems about them are proved.