Stable constant mean curvature hypersurfaces
Stable constant mean curvature hypersurfaces
复制标题
稳定的常平均曲率超曲面
DOI：
10.1090/s0002-9939-07-08825-9
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发表时间：
2007
影响因子：
3
通讯作者：
H. Rosenberg
中科院分区：
文献类型：
--
作者：
M. F. Elbert;B. Nelli;H. Rosenberg
设Nn +1是截面曲率下一致有界的黎曼流形.当n = 3，4时，我们证明了不存在完全（强）稳定的无边界H-超曲面，只要|H|足够大。特别地，我们证明了Rn +1中不存在完全强稳定的无边界H超曲面，H <$0.
Let Ν n+1 be a Riemannian manifold with sectional curvatures uniformly bounded from below. When n = 3,4, we prove that there are no complete (strongly) stable H-hypersurfaces, without boundary, provided |H| is large enough. In particular, we prove that there are no complete strongly stable H-hypersurfaces in R n+1 without boundary, H ≠ 0.