• CHANDAN KUMAR MONDAL

Articles written in Proceedings – Mathematical Sciences

• On Ricci solitons whose potential is convex

In this paper, we consider theRicci curvature of a Ricci soliton. In particular,we have showed that a complete gradient Ricci soliton with non-negative Ricci curvature possessing a non-constant convex potential function having finite weighted Dirichlet integral satisfying an integral condition is Ricci flat and also it isometrically splits a line. We have also proved that a gradient Ricci soliton with non-constant concave potential function and bounded Ricci curvature is non-shrinking and hence the scalar curvaturehas at most one critical point.

• # Proceedings – Mathematical Sciences

Volume 130, 2020
All articles
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• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019