A Rigidity Theorem for the Hemisphere

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dc.creatorHang, Fengbo
dc.creatorWang, Xiaodong
dc.date2007-11-28
dc.date2007-12-03
dc.date.accessioned2026-07-07T08:46:20Z
dc.date.available2026-07-07T08:46:20Z
dc.descriptionWe prove the following rigidity theorem: For an n-dimensional compact Riemannian manifold with boundary whose Ricci curvature is bounded by n-1 from below, if its boundary is isometric to the standard sphere of dimension n-1 and totally geodesic, then the manifold is isometric to the standard hemisphere.
dc.descriptionThe extrinsic boundary condition is relaxed
dc.identifierhttps://arxiv.org/abs/0711.4595
dc.identifierhttp://arxiv.org/abs/0711.4595
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143217
dc.subjectDifferential Geometry
dc.titleA Rigidity Theorem for the Hemisphere
dc.typetext

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