Volume et courbure totale pour les hypersurfaces de l'espace euclidien

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dc.creatorOancea, Alexandru
dc.date2002-12-21
dc.date.accessioned2026-07-07T04:53:59Z
dc.date.available2026-07-07T04:53:59Z
dc.descriptionThe paper investigates higher dimensional analogues of Burago's inequality bounding the area of a closed surface by its total curvature. We obtain sufficient conditions for hypersurfaces in 4-space that involve the Ricci curvature. We get semi-local variants of the inequality holding in any dimension that involve domains with non-vanishing Gauss-Kronecker curvature. The paper also contains inequalities of isoperimetric type involving the total curvature, as well as a "reverse" isoperimetric inequality for spaces with constant curvature.
dc.description36 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/math/0212302
dc.identifierhttp://arxiv.org/abs/math/0212302
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66068
dc.subjectDifferential Geometry
dc.titleVolume et courbure totale pour les hypersurfaces de l'espace euclidien
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