Stable H-minimal hypersurfaces

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.

34 pages

References in corpus (2)

• The Bernstein Problem in the Heisenberg Group
• Variation of Perimeter Measure in sub-Riemannian geometry

Cited by in corpus (1)

• Existence, characterization and stability of Pansu spheres in sub-Riemannian $3$-space forms