Ricci curvature, minimal surfaces and sphere theorems

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dc.creatorShen, Ying
dc.creatorZhu, Shunhui
dc.date1997-08-30
dc.date.accessioned2026-07-07T09:13:18Z
dc.date.available2026-07-07T09:13:18Z
dc.descriptionUsing an analogue of Myers' theorem for minimal surfaces and three dimensional topology, we prove the diameter sphere theorem for Ricci curvature in dimension three and a corresponding eigenvalue pinching theorem. This settles these two open problems for closed 3 manifolds with positive Ricci curvature since they are both false in dimensions greater than three.
dc.descriptionLaTex Form. To appear in J. Geom. Analysis
dc.identifierhttps://arxiv.org/abs/dg-ga/9709002
dc.identifierhttp://arxiv.org/abs/dg-ga/9709002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152281
dc.subjectDifferential Geometry
dc.subject53C20, 53C42
dc.titleRicci curvature, minimal surfaces and sphere theorems
dc.typetext

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