Stable H-minimal hypersurfaces

2012/03/27 by Francescopaolo Montefalcone, Montefalcone, Francescopaolo
Biochemistry, Genetics and Molecular Biology · Mathematics · #22E60 #46E35 #49Q15 #Dermatological and Skeletal Disorders #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Metric Geometry (math.MG)

paper · pdf · doi:10.48550/arxiv.1203.5972

openalex publication_date 2012/03/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove some stability results for smooth H-minimal hypersurfaces immersed in a sub-Riemannian k-step Carnot group G. The main tools are the formulas for the 1st and 2nd variation of the H-perimeter measure.

Citations

• Minimal Varieties in Riemannian Manifolds

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