English

Stable H-minimal hypersurfaces

Metric Geometry 2012-12-17 v4 Differential Geometry

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.

Keywords

Cite

@article{arxiv.1203.5972,
  title  = {Stable H-minimal hypersurfaces},
  author = {Francescopaolo Montefalcone},
  journal= {arXiv preprint arXiv:1203.5972},
  year   = {2012}
}

Comments

34 pages

R2 v1 2026-06-21T20:40:34.872Z