Surface Area of Ellipsoids

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dc.creatorRivin, Igor
dc.date2003-06-27
dc.date2003-07-03
dc.date.accessioned2026-07-07T04:59:13Z
dc.date.available2026-07-07T04:59:13Z
dc.descriptionWe study the surface area of an ellipsoid in n-dimensional Euclidean space as the function of the lengths of their major semi-axes. We write down an explicit formula as an integral over the unit sphere, use the formula to derive convexity properties of the surface area, to give sharp estimates for the surface area of a large-dimensional ellipsoid, to produce asymptotic formulas in large dimensions, and to give an expression for the surface in terms of the Lauricella hypergeometric function.
dc.descriptionsimplified version with essentially optimal estimates
dc.identifierhttps://arxiv.org/abs/math/0306387
dc.identifierhttp://arxiv.org/abs/math/0306387
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67897
dc.subjectMetric Geometry
dc.subjectProbability
dc.subject52A38; 58C35; 60F99
dc.titleSurface Area of Ellipsoids
dc.typetext

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