Ricci Curvature and Betti Numbers

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dc.creatorWei, Guofang
dc.date1994-11-07
dc.date.accessioned2026-07-07T09:12:26Z
dc.date.available2026-07-07T09:12:26Z
dc.descriptionWe derive a uniform bound for the total betti number of a closed manifold in terms of a Ricci curvature lower bound, a conjugate radius lower bound and a diameter upper bound. The result is based on an angle version of Toponogov comparison estimate for small triangles in a complete manifold with a Ricci curvature lower bound. We also give a uniform estimate on the generators of the fundamental group and prove a fibration theorem in this setting.
dc.description18pages, Latex
dc.identifierhttps://arxiv.org/abs/dg-ga/9411003
dc.identifierhttp://arxiv.org/abs/dg-ga/9411003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152022
dc.subjectDifferential Geometry
dc.titleRicci Curvature and Betti Numbers
dc.typetext

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