Showing papers by "Arindam Bhattacharyya published in 2015"
TL;DR: In this paper, the existence of extrinsic sphere for totally umbilical hemi-slant submanifolds of LP-Sasakian manifold is studied.
Abstract: This paper is summarized as follows. In the first section we have given a brief history about slant and hemi-slant submanifold of LP-Sasakian manifold. This section is followed by some preliminaries about LP-Sasakian manifold. Finally, we have derived some interesting results on the existence of extrinsic sphere for totally umbilical hemi-slant submanifold of LP-Sasakian manifold.
5 citations
01 Jan 2015
TL;DR: In this article, the authors studied generalized recurrent, generalized Ricci-recurrent, weakly symmetric and weakly Ricci symmetric, semi-generalized recurrent, semi generalized Ricci recurrence and Ricci recurrent Lorentzian manifold with respect to a quarter-symmetric metric connection.
Abstract: The aim of this paper is to study generalized recurrent, generalized Ricci-recurrent, weakly symmetric and weakly Ricci-symmetric, semi-generalized recurrent, semi-generalized Ricci-recurrent Lorentzian $\alpha $-Sasakian manifold with respect to quarter-symmetric metric connection. Finally, we give an example of 3-dimensional Lorentzian $\alpha $-Sasakian manifold with respect to quarter-symmetric metric connection.
4 citations
TL;DR: In this paper, the curvature identities for gradient shrinking conformal Ricci soliton are established, and some curvatures identities for curvature identity for gradient shrinkings are established.
Abstract: Abstract In this paper we have established some curvature identities for gradient shrinking conformal Ricci soliton.
4 citations
TL;DR: In this article, the authors studied characterizations of odd and even dimensional mixed super quasi-Einstein manifold and gave three and four dimensional examples (both Riemannian and Lorentzian) of such manifold.
Abstract: Abstract In this paper we study characterizations of odd and even dimensional mixed super quasi- Einstein manifold and we give three and four dimensional examples (both Riemannian and Lorentzian) of mixed super quasi-Einstein manifold to show the existence of such manifold. Also in the last section we give the examples of warped product on mixed super quasi-Einstein manifold.
1 citations
TL;DR: In this paper, the authors introduced the notion of almost conformai gradient shrinking Ricci soliton and established some curvature identities for almost conforma-gradient shrinking RRS soliton.
Abstract: In this paper we have introduced the notion of almost conformai gradient shrinking Ricci soliton and established some curvature identities for almost conformai gradient shrinking Ricci soliton.
1 citations