General curvature estimates for stable H-surfaces immersed into a space form
Bérard, Pierre ; Hauswirth, Laurent
HAL, hal-00795400 / Harvested from HAL
Text on HAL
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.
Publié le : 1999-07-05
Classification:  Curvature estimates-Constant mean curvature,  [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG] 
@article{hal-00795400,
     author = {B\'erard, Pierre and Hauswirth, Laurent},
     title = {General curvature estimates for stable H-surfaces immersed into a space form},
     journal = {HAL},
     volume = {1999},
     number = {0},
     year = {1999},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00795400}
}

Bérard, Pierre; Hauswirth, Laurent. General curvature estimates for stable H-surfaces immersed into a space form. HAL, Tome 1999 (1999) no. 0, . http://gdmltest.u-ga.fr/item/hal-00795400/