Ricci Curvature, Diameter and Fundamental groups

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dc.creatorChen, Wen-Haw
dc.creatorWu, Jyh-Yang
dc.date2005-02-14
dc.date.accessioned2026-07-07T05:16:58Z
dc.date.available2026-07-07T05:16:58Z
dc.descriptionIn this note we discuss the fundamental groups and diameters of positively Ricci curved $n$-manifolds. We use a method combining the results about equivarient Hausdorff convergence developed by Fukaya and Yamaguchi with the Ricci version of splitting theorem by Cheeger and Colding to give new information on the topology of compact manifolds with positive Ricci curvature. Moreover, we also obtain a weak Margulis's lemma for manifolds under a lower Ricci curvature bound.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math/0502281
dc.identifierhttp://arxiv.org/abs/math/0502281
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74186
dc.subjectDifferential Geometry
dc.subject53C20
dc.titleRicci Curvature, Diameter and Fundamental groups
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