Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1896757 | Journal of Geometry and Physics | 2010 | 6 Pages |
Abstract
Let (M,g) be a noncompact complete Bach-flat manifold with positive Yamabe constant. We prove that (M,g) is flat if (M,g) has zero scalar curvature and sufficiently small L2 bound of curvature tensor. When (M,g) has nonconstant scalar curvature, we prove that (M,g) is conformal to the flat space if (M,g) has sufficiently small L2 bound of curvature tensor and L4/3 bound of scalar curvature.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Seongtag Kim,