General curvature estimates for stable H-surfaces in 3-manifolds applications
Rosenberg, Harold ; Souam, Rabah ; Toubiana, Eric
J. Differential Geom., Tome 84 (2010) no. 1, p. 623-648 / Harvested from Project Euclid
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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.
Publié le : 2010-03-15
Classification:  
@article{1279114303,
     author = {Rosenberg, Harold and Souam, Rabah and Toubiana, Eric},
     title = {General curvature estimates for stable H-surfaces in 3-manifolds applications},
     journal = {J. Differential Geom.},
     volume = {84},
     number = {1},
     year = {2010},
     pages = { 623-648},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1279114303}
}

Rosenberg, Harold; Souam, Rabah; Toubiana, Eric. General curvature estimates for stable H-surfaces in 3-manifolds applications. J. Differential Geom., Tome 84 (2010) no. 1, pp.  623-648. http://gdmltest.u-ga.fr/item/1279114303/