Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4665940 | Advances in Mathematics | 2013 | 30 Pages |
Abstract
By improving the analysis developed in the study of σkσk-Yamabe problem, we prove in this paper the following new inequality for any 3-dimensional Riemannian manifold (M3,g)(M3,g) of non-negative scalar curvature(∫Mσ1(g)dv(g))2⩾3vol(g)∫Mσ2(g)dv(g). Equality holds if and only if (M3,g)(M3,g) is a space form.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Yuxin Ge, Guofang Wang,