General curvature estimates for stable H-surfaces in 3-manifolds applications
General curvature estimates for stable H-surfaces in 3-manifolds applications
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DOI：
10.4310/jdg/1279114303
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发表时间：
2009-02
影响因子：
2.5
通讯作者：
H. Rosenberg;Rabah Souam;E. Toubiana
中科院分区：
文献类型：
--
作者：
H. Rosenberg;Rabah Souam;E. Toubiana
我们获得了具有有界截面曲率的黎曼 3 流形中稳定 H 表面的第二基本形式的范数的估计。我们的估计取决于到表面边界的距离和截面曲率的界限，但不取决于流形本身。我们给出了一些应用，特别是我们获得了杀死淹没中 H 截面的内部梯度估计。
We obtain an estimate for the norm of the second fundamental form of stable H-surfaces in Riemannian 3-manifolds with bounded sectional curvature. Our estimate depends on the distance to the boundary of the surface and on the bound on the sectional curvature but not on the manifold itself. We give some applications, in particular we obtain an interior gradient estimate for H-sections in Killing submersions.