Showing papers by "Arindam Bhattacharyya published in 2019"
TL;DR: In this paper, the authors studied some properties of (LCS)$_n$-manifolds whose metric is Yamabe soliton and constructed a 3D (LCS)-manifold satisfying the results.
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 steady. Next we have studied some certain curvature conditions of (LCS)$_n$-manifolds admitting Yamabe solitons. Lastly we construct a 3-dimensional (LCS)$_n$-manifold satisfying the results.
20 citations
TL;DR: The conditions for *-Conformal ∆-Ricci soliton on 5-dimensional Sasakian manifolds have been obtained in this paper, where the curvature properties of these manifold admit Ricci solitons.
Abstract: In this paper we study *-Conformal {\eta}-Ricci soliton on Sasakian manifolds. Here, we discuss some curvature properties on Sasakian manifold admitting *-Conformal {\eta}-Ricci soliton. We obtain some significant results on *-Conformal {\eta}-Ricci soliton in Sasakian manifolds satisfying R({\xi},X).S = 0, S({\xi},X).R = 0, {\overline}P({\xi},X).S = 0, where {\overline}P is Pseudo-projective curvature tensor.The conditions for *-Conformal {\eta}-Ricci soliton on {\Phi}-conharmonically flat and {\Phi}-projectively flat Sasakian manifolds have been obtained in this article. Lastly we give an example of 5-dimensional Sasakian manifolds satisfying *-Conformal {\eta}-Ricci soliton.
13 citations
02 Jan 2019
TL;DR: In this article, the authors studied N(k)-mixed generalized quasi-Einstein manifolds and proved the existence of these manifolds under certain conditions and established some curvature properties.
Abstract: The objective of the present paper is to study N(k)-mixed generalized quasi-Einstein manifolds. We prove the existence of these manifolds. Later we establish some curvature properties of N(k)-mixed generalized quasi-Einstein manifolds under certain conditions. In the last section, we give two examples of N(k)-mixed generalized quasi-Einstein manifolds.
2 citations
TL;DR: In this paper, the authors studied ∗-Conformal η-Ricci soliton on Sasakian manifolds, and obtained some sign and curvature properties.
Abstract: In this paper, we study ∗-Conformal η-Ricci soliton on Sasakian manifolds. Here, we discuss some curvature properties on Sasakian manifold admitting ∗-Conformal η-Ricci soliton. We obtain some sign...
2 citations
TL;DR: In this article, it is shown that a natural subclass of the class of quasi-Einstein manifolds, called EIFs, can be found in the Euclidean plane.
Abstract: It is well-known that Einstein manifolds play an important role in geometry as well as in general relativity. Einstein manifolds form a natural subclass of the class of quasi-Einstein manifolds. Th...
TL;DR: D determining whether a point is contained in a polyhedron or not has been revisited many times in history as it is one of the fundamental problems in computational geometry with immense application in three dimensional CAD/CAM problems, in GIS(Geographic Information System).
Abstract: Determining whether a point is contained in a polyhedron or not has been revisited many times in history as it is one of the fundamental problems in computational geometry with immense appl...