108 citations · 424 across the 23 of their papers we have counts for
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-quasi Einstein manifolds with convex potential
Absos Ali Shaikh, Prosenjit Mandal, Chandan Kumar Mondal +1
The main objective of this paper is to investigate the -quasi Einstein manifold when the potential function becomes convex. In this article, it is proved that an -quasi Einst…
Compact gradient -Einstein soliton is isometric to the Euclidean sphere
Absos Ali Shaikh, Chandan Kumar Mondal, Prosenjit Mandal
In this paper we have investigated some aspects of gradient -Einstein Ricci soliton in a complete Riemannian manifold. First, we have proved that the compact gradient -Einste…
Isometry theorem of gradient Shrinking Ricci solitons
Absos Ali Shaikh, Chandan Kumar Mondal
In this paper, we have proved that if a complete conformally flat gradient shrinking Ricci soliton has linear volume growth or the scalar curvature is finitely integrable and also…
Isometry theorem of Cartan-Hadamard manifold
Absos Ali Shaikh, Prosenjit Mandal, Chandan Kumar Mondal +1
Cartan-Hadamard manifold is a simply connected Riemannian manifold with non-positive sectional curvature. In this article, we have proved that a Cartan-Hadamard manifold satisfying…
On Ricci solitons whose potential is convex
Chandan Kumar Mondal, Absos Ali Shaikh
In this paper we consider the Ricci curvature of a Ricci soliton. In particular, we have showed that a complete gradient Ricci soliton with non-negative Ricci curvature possessing…
Non-existence of Riemannian metric satisfying Yamabe soliton
Absos Ali Shaikh, Chandan Kumar Mondal
In this paper we have proved that a compact Riemannian manifold does not admit a metric with positive scalar curvature if there exists a real valued function in this manifold which…