Universal volume bounds in Riemannian manifolds

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In 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.
34 pages. To appear in Surveys in Differential Geometry

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Differential Geometry, Geometric Topology, History and Overview, 53C23

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http://salesiana.dossiersoluciones.com/handle/123456789/66583

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0302248
 http://arxiv.org/abs/math/0302248

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arXiv