Some rigidity results for noncompact gradient steady Ricci solitons and Ricci-flat manifolds (1311.4515v2)

Published 18 Nov 2013 in math.DG

Abstract: Gradient steady Ricci solitons are natural generalizations of Ricci-flat manifolds. In this article, we prove a curvature gap theorem for gradient steady Ricci solitons with nonconstant potential functions; and a curvature gap theorem for Ricci-flat manifolds, removing the volume growth assumptions in known results.

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Authors (1)

Fei He

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