Universal volume bounds in Riemannian manifolds

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dc.creatorCroke, Christopher B.
dc.creatorKatz, Mikhail G.
dc.date2003-02-20
dc.date.accessioned2026-07-07T04:55:27Z
dc.date.available2026-07-07T04:55:27Z
dc.descriptionIn this survey article we will consider universal lower bounds on the volume of a Riemannian manifold, given in terms of the volume of lower dimensional objects (primarily the lengths of geodesics). By `universal' we mean without curvature assumptions. The restriction to results with no (or only minimal) curvature assumptions, although somewhat arbitrary, allows the survey to be reasonably short. Although, even in this limited case the authors have left out many interesting results.
dc.description34 pages. To appear in Surveys in Differential Geometry
dc.identifierhttps://arxiv.org/abs/math/0302248
dc.identifierhttp://arxiv.org/abs/math/0302248
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66583
dc.subjectDifferential Geometry
dc.subjectGeometric Topology
dc.subjectHistory and Overview
dc.subject53C23
dc.titleUniversal volume bounds in Riemannian manifolds
dc.typetext

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