| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1893124 | Journal of Geometry and Physics | 2011 | 6 Pages |
Abstract
Let (M4,g)(M4,g) be a four-dimensional complete noncompact Bach-flat Riemannian manifold with positive Yamabe constant. In this paper, we show that (M4,g)(M4,g) has a constant curvature if it has a nonnegative constant scalar curvature and sufficiently small L2L2-norm of trace-free Riemannian curvature tensor. Moreover, we get a gap theorem for (M4,g)(M4,g) with positive scalar curvature.
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Yawei Chu,