We prove some stability results for smooth non-characteristic H-minimal hypersurfaces immersed in a sub-Riemannian k-step Carnot group G. The main tools are the formulas for the first and second variation of the H-perimeter measure together with some non-trivial geometric identities.
Stable H-Minimal Hypersurfaces
MONTEFALCONE, FRANCESCOPAOLO
2015
Abstract
We prove some stability results for smooth non-characteristic H-minimal hypersurfaces immersed in a sub-Riemannian k-step Carnot group G. The main tools are the formulas for the first and second variation of the H-perimeter measure together with some non-trivial geometric identities.
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