Complete manifolds with nonnegative curvature operator

Simple item page
dc.creatorNi, Lei
dc.creatorWu, Baoqiang
dc.date2006-07-14
dc.date.accessioned2026-07-07T07:18:23Z
dc.date.available2026-07-07T07:18:23Z
dc.descriptionIn this short note, as a simple application of the strong result proved recently by Böhm and Wilking, we give a classification on closed manifolds with 2-nonnegative curvature operator. Moreover, by the new invariant cone constructions of Böhm and Wilking, we show that any complete Riemannian manifold (with dimension $\ge 3$) whose curvature operator is bounded and satisfies the pinching condition $R\ge δR_{I}>0$, for some $δ>0$, must be compact. This provides an intrinsic analogue of a result of Hamilton on convex hypersurfaces.
dc.identifierhttps://arxiv.org/abs/math/0607356
dc.identifierhttp://arxiv.org/abs/math/0607356
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114283
dc.subjectDifferential Geometry
dc.titleComplete manifolds with nonnegative curvature operator
dc.typetext

Files

Collections

arXiv