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| A BRAY-BRENDLE-NEVES TYPE INEQUALITY FOR A RIEMANNIAN MANIFOLD | |
| 作者姓名： | 邓洪存 |
| 作者单位： | School of Mathematics and Information Sciences |
| 基金项目： | supported by National Science Foundation of China(11601467). |
| 摘 要： | In this paper,for any local area-minimizing closed hypersurface∑with RcΣ=RΣ/ngΣ,immersed in a(n+1)-dimension Riemannian manifold M which has positive scalar curvature and nonnegative Ricci curvature,we obtain an upper bound for the area of∑.In particular,when∑saturates the corresponding upper bound,∑is isometric to Snand M splits in a neighborhood of∑.At the end of the paper,we also give the global version of this result. |
| 关 键 词： | Riemannian manifold area-minimizing hypersurface Yamabe invariant |
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