Einstein manifolds of non-negative sectional curvature and entropy

Simple item page
dc.creatorPaternain, Gabriel
dc.creatorPetean, Jimmy
dc.date2000-02-22
dc.date.accessioned2026-07-07T04:34:01Z
dc.date.available2026-07-07T04:34:01Z
dc.descriptionWe find obstructions to the existence of Einstein metrics of non-negative sectional curvature on a smooth closed simply connected manifold of any dimension. The results are achieved by combining the classical Morse theory of the loop space with a new upper bound for the topological entropy of the geodesic flow in terms of the curvature tensor.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/math/0002188
dc.identifierhttp://arxiv.org/abs/math/0002188
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58742
dc.subjectDifferential Geometry
dc.subjectDynamical Systems
dc.subject53C25
dc.titleEinstein manifolds of non-negative sectional curvature and entropy
dc.typetext

Files

Collections

arXiv