Variation of Perimeter Measure in sub-Riemannian geometry

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dc.creatorHladky, Robert K.
dc.creatorPauls, Scott D.
dc.date2007-02-08
dc.date.accessioned2026-07-07T07:45:46Z
dc.date.available2026-07-07T07:45:46Z
dc.descriptionWe 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.
dc.description37 pages
dc.identifierhttps://arxiv.org/abs/math/0702237
dc.identifierhttp://arxiv.org/abs/math/0702237
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123638
dc.subjectDifferential Geometry
dc.subject53C17; 53C42
dc.titleVariation of Perimeter Measure in sub-Riemannian geometry
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