Congruence theorems for capillary hypersurfaces and a substatic Heintze--Karcher inequality
Year: 2026
Type: preprint
Abstract: We prove congruence theorems for capillary hypersurfaces of Euclidean space supported on a hyperplane or on a sphere, extending a result of Ros for closed hypersurfaces. We also establish a Heintze--Karcher type inequality for capillary hypersurfaces in substatic manifolds.
Source: arXiv (Cornell University)
Author: Guimarães, Felippe
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G2263475342, G304002239
OpenAlex ID: W7214039226