General curvature estimates for stable H-surfaces in 3-manifolds applications

By H. Rosenberg, Rabah Souam, Eric Toubiana. 2009

128 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/a457fdde810803873cfb0595b6396d4add42a25c

How researchers see this paper

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In Applied Mathematics

1. J. A. Gálvez
2. H. Rosenberg
3. L. Hauswirth
4. W. H. Meeks
5. Joaquín Pérez
6. Benoît Daniel

In Mathematical Physics

1. J. A. Gálvez
2. H. Rosenberg
3. Ricardo Sa Earp

Citations in the corpus

• Minimal surfaces and harmonic diffeomorphisms from the complex plane onto certain Hadamard surfaces (2010, background): “This bound and depend on the geometry of M and the distance of p to @ in M , and not on . We refer to reader to Schoen [Sc], and Rosenberg, Souam and Toubiana [ RST ].”