26 citations · 42 across the 12 of their papers we have counts for
12 papers
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…
Scalar curvature estimation of Generalized Ricci-Yamabe solitons
Absos Ali Shaikh, Prosenjit Mandal, Chandan Kumar Mondal
This paper is concerned with the study of generalized gradient Ricci-Yamabe solitons. We characterize the compact generalized gradient Ricci-Yamabe soliton and find certain conditi…
Diameter estimation of -quasi Einstein manifolds
Absos Ali Shaikh, Prosenjit Mandal, Chandan Kumar Mondal
This paper aims to study the -quasi Einstein manifold. This article shows that a complete and connected Riemannian manifold under certain conditions becomes compact. Also, w…
Some Characterizations of Quasi Yamabe solitons
Absos Ali Shaikh, Prosenjit Mandal
In this article, we have proved some results in connection with the potential vector field having finite global norm in quasi Yamabe soliton. We have derived some criteria in parti…
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…
Diameter estimation of gradient -Einstein solitons
Absos Ali Shaikh, Prosenjit Mandal, Chandan Kumar Mondal
Our aim in this article is to give a lower bound of the diameter of a compact gradient -Einstein soliton satisfying some given conditions. We have also deduced some conditions o…
-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…
Existence of finite global norm of potential vector field in a Ricci soliton
Absos Ali Shaikh, Chandan Kumar Mondal, Prosenjit Mandal
In this article, we investigate global norm of potential vector field in Ricci soliton. In particular, we have deduced certain conditions so that the potential vector field has fin…
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…
Some characterizations of gradient Yamabe solitons
Absos Ali Shaikh, Prosenjit Mandal
In this article we have proved that a gradient Yamabe soliton satisfying some additional conditions must be of constant scalar curvature. Later, we have showed that in a gradient e…
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…