Stable hypersurfaces with constant higher order mean curvature

2022/12/29 by Leonardo M. Damasceno, Leonardo Damasceno, Damasceno, Leonardo +2
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Capillary action #Center of curvature #Computer science #Constant (computer programming) #Curvature #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Mathematical analysis #Mathematics #Mean curvature #Mean curvature flow #Order (exchange) #Physics #Stability (learning theory) #Thermodynamics #math.DG

paper · pdf · doi:10.48550/arxiv.2212.14130

published in arXiv (Cornell University) (Cornell University) · 36 pages

arxiv created 2022/12/29 · openalex publication_date 2022/12/29 · arxiv updated 2023/01/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

We propose a notion of stability for capillary hypersurfaces with constant higher order mean curvature and we generalize some results of the classical stability theory for CMC capillary hypersurfaces.

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