19 citations · 23 across the 23 of their papers we have counts for
5 papers · 1 filter
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…
On the freeness and projectiveness of Breuil-Kisin module
Absos Ali Shaikh, Mabud Ali Sarkar
In the work we have considered Breuil-Kisin module over the ring of witt vectors over the residue field of characteristic and a finite flat -algebra $R…
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…