Variation of Perimeter Measure in sub-Riemannian geometry

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We derive a formula for the first variation of horizontal perimeter measure for $C^2$ hypersurfaces of completely general sub-Riemannian manifolds, allowing for the existence of characteristic points. For $C^2$ hypersurfaces in vertically rigid sub-Riemannian manifolds we also produce a second variation formula for variations supported away from the characteristic locus. This variation formula is used to show the bubble sets in \hn{2} are stable under volume preserving variations.
37 pages

Keywords

Differential Geometry, 53C17; 53C42

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/123638

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0702237
 http://arxiv.org/abs/math/0702237

Collections

arXiv