Extrinsci radius pinching in space forms of nonnegative sectional curvature

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dc.creatorRoth, Julien
dc.date2006-09-18
dc.date.accessioned2026-07-07T08:39:19Z
dc.date.available2026-07-07T08:39:19Z
dc.descriptionWe give new estimates for the extrinsic radius of compact hypersurfaces of the Euclidean space and the open hemisphere in terms of high order mean curvatures. Then we prove pinching results corresponding to theses estimates. We show that under a suitable pinching condition, the hypersurface is diffeomorphic and almost isometric to a geodesic hypersphere.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0609492
dc.identifierhttp://arxiv.org/abs/math/0609492
dc.identifierMathematische Zeitschrift 258, 1 (2008) 227-240
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141032
dc.subjectDifferential Geometry
dc.subject53A07; 53C20; 53C21
dc.titleExtrinsci radius pinching in space forms of nonnegative sectional curvature
dc.typetext

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