19 citations · 23 across the 16 of their papers we have counts for
24 papers · 1 filter
Splitting theorem of Gradient -Einstein solitons
Absos Ali Shaikh, Prosenjit Mandal, Chandan Kumar Mondal
In this paper, we have proved a weighted Laplacian comparison of distance function for manifolds with Bakry-Émery curvature bounded from below. Next, we have shown that a gradient…
-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…
Some characterizations of -Einstein solitons
Absos Ali Shaikh, Antonio W. Cunha, Prosenjit Mandal
In this article we have showed that a gradient -Einstein soliton with a vector field of bounded norm and satisfying some other conditions is isometric to the Euclidean sphere. L…
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…