A general halfspace theorem for constant mean curvature surfaces
Résumé
In this paper, we prove a general halfspace theorem for constant mean curvature surface. Under certain hypothesis, we prove that, in an ambient space $M^3$, any constant mean curvature $H_0$ surface on one side of a constant mean curvature $H_0$ surface $\Sigma_0$ is an equidistant surface to $\Sigma_0$. The main hypotheses of the theorem are that $\Sigma_0$ is parabolic and the mean curvature of the equidistant surfaces to $\Sigma_0$ evolves in a certain way.
Domaines
Géométrie différentielle [math.DG]
Origine : Fichiers produits par l'(les) auteur(s)