Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5773676 | Differential Geometry and its Applications | 2017 | 20 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Fei He,