General curvature estimates for stable H-surfaces immersed into a space form
Résumé
We apply De Giorgi-Nash-Moser iteration and we give general curvature estimates for constant mean curvature surfaces immersed into a simply-connected 3-dimensional space form. We obtain bounds on the norm of the traceless second fundamental form and on the Gaussian curvature at the center of a relatively compact stable geodesic ball. This work is in the spirit curvature's estimate for minimal surfaces of R. Schoen.