Smooth geometric evolutions of hypersurfaces

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dc.creatorMantegazza, Carlo
dc.date2001-03-03
dc.date.accessioned2026-07-07T06:42:21Z
dc.date.available2026-07-07T06:42:21Z
dc.descriptionWe consider the gradient flow of hypersurfaces immersed in the Euclidean space associated to geometric energy functionals. We show that for particular functionals depending by higher covariant derivatives of the curvature, singularities in finite time cannot occur during the evolution. Such geometric functionals are related to similar ones proposed by Ennio De Giorgi, who conjectured for them an analogous regularity result.
dc.description34 pages
dc.identifierhttps://arxiv.org/abs/math/0103016
dc.identifierhttp://arxiv.org/abs/math/0103016
dc.identifierGeom. Funct. Anal. 12 (2002), no. 1, 138-182
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102010
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject53A07;53C21;35K55
dc.titleSmooth geometric evolutions of hypersurfaces
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