Simple estimates for ellipsoid measures

dc.creatorRivin, Igor
dc.date2003-06-04
dc.date2003-07-18
dc.date.accessioned2026-07-07T04:58:35Z
dc.date.available2026-07-07T04:58:35Z
dc.descriptionWe write down estimates for the surface area, and more generally, integral mean curvatures of an ellipsoid E in n-dimensional Euclidean space in terms of the lengths of the major semi-axes. We give applications to estimating the area of parallel surfaces and volume of the tubular neighborhood of E, to the counting of lattice points contained in E and to estimating the shape of the John ellipsoid of a convex body.
dc.identifierhttps://arxiv.org/abs/math/0306085
dc.identifierhttp://arxiv.org/abs/math/0306085
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67695
dc.subjectMetric Geometry
dc.subjectNumber Theory
dc.subject52A38; 11P21
dc.titleSimple estimates for ellipsoid measures
dc.typetext

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