6 papers · 1 filter
Triviality Results and Conjugate Radius Estimation of Ricci Solitons
Absos Ali Shaikh, Prosenjit Mandal, V. Amarendra Babu
The investigation of Ricci solitons is the focus of this work. We have proved triviality results for compact gradient Ricci soliton under certain restriction. Later, a rigidity res…
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 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…