A general halfspace theorem for constant mean curvature surfaces
Year: 2010
Type: preprint
Abstract: In this paper, we prove a general halfspace theorem for constant mean curvature surfaces. Under certain hypotheses, 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 Σ_0 is an equidistant surface to Σ_0. The main hypotheses of the theorem are that Σ_0 is parabolic and the mean curvature of the equidistant surfaces to Σ_0 evolves in a certain way.
Source: arXiv (Cornell University)
Author: Mazet, Laurent
Institution: Laboratoire d’Analyse et de Mathématiques Appliquées
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2952004387