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math.DG2022
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…
math.DG2022
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…