Three-manifolds of positive Ricci curvature and convex weakly umbilic boundary

Simple item page
dc.creatorCortissoz, Jean
dc.date2007-04-17
dc.date.accessioned2026-07-07T07:56:49Z
dc.date.available2026-07-07T07:56:49Z
dc.descriptionIn this paper we consider three-manifolds with weakly umbilic boundary (the Second Fundamental form of the boundary is a constant multiple of the metric). We show that if the initial manifold has positive Ricci curvature and the boundary is convex (nonnegative Second Fundamental form), its metric can be deformed via the Ricci flow to a metric of constant curvature and totally geodesic boundary.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0704.2081
dc.identifierhttp://arxiv.org/abs/0704.2081
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127453
dc.subjectDifferential Geometry
dc.subject37E35
dc.titleThree-manifolds of positive Ricci curvature and convex weakly umbilic boundary
dc.typetext

Files

Collections

arXiv