Smooth Volume Rigidity for Manifolds with Negatively Curved Targets

Simple item page
dc.creatorConnell, Chris
dc.date2007-10-04
dc.date.accessioned2026-07-07T08:34:19Z
dc.date.available2026-07-07T08:34:19Z
dc.descriptionWe establish conditions for a continuous map of nonzero degree between a smooth closed manifold and a negatively curved manifold of dimension greater than four to be homotopic to a smooth cover, and in particular a diffeomorphism when the degree is one. The conditions hold when the volumes or entropy-volumes of the two manifolds differ by less than a uniform constant after an appropriate normalization of the metrics. The results are qualitatively sharp in the sense that the dependencies are necessary. We give a number of corollaries.
dc.descriptionUpdated from 2006 version
dc.identifierhttps://arxiv.org/abs/0710.1104
dc.identifierhttp://arxiv.org/abs/0710.1104
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139396
dc.subjectDifferential Geometry
dc.subjectGeometric Topology
dc.subject53C20,53C23,53C24
dc.titleSmooth Volume Rigidity for Manifolds with Negatively Curved Targets
dc.typetext

Files

Collections

arXiv