Volumes of balls in large Riemannian manifolds

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dc.creatorGuth, Larry
dc.date2006-10-06
dc.date.accessioned2026-07-07T07:28:47Z
dc.date.available2026-07-07T07:28:47Z
dc.descriptionIf (M^n, g) is a complete Riemannian manifold with filling radius at least R, then we prove that it contains a ball of radius R and volume at least c(n)R^n. If (M^n, hyp) is a closed hyperbolic manifold and if g is another metric on M with volume at most c(n)Volume(M,hyp), then we prove that the universal cover of (M,g) contains a unit ball with volume greater than the volume of a unit ball in hyperbolic n-space.
dc.description21 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0610212
dc.identifierhttp://arxiv.org/abs/math/0610212
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/117861
dc.subjectDifferential Geometry
dc.subject53C23
dc.titleVolumes of balls in large Riemannian manifolds
dc.typetext

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