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math.DG2019
On Ricci solitons whose potential is convex
Chandan Kumar Mondal, Absos Ali Shaikh
In this paper we consider the Ricci curvature of a Ricci soliton. In particular, we have showed that a complete gradient Ricci soliton with non-negative Ricci curvature possessing…
math.DG2019★ 1 cited
Non-existence of Riemannian metric satisfying Yamabe soliton
Absos Ali Shaikh, Chandan Kumar Mondal
In this paper we have proved that a compact Riemannian manifold does not admit a metric with positive scalar curvature if there exists a real valued function in this manifold which…
math.DG2019
Extension property of continuous functions in a Riemannain manifold with a pole
Absos Ali Shaikh, Chandan Kumar Mondal
The Brouwer fixed point theorem says that any continuous function from disc to itself has a fixed point. By using simple geometrical technique we have generalized the result in man…