Metrics of positive Ricci curvature on quotient spaces

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We show that any closed biquotient with finite fundamental group admits metrics of positive Ricci curvature. Also, let M be a closed manifold on which a compact Lie group G acts with cohomogeneity one, and let L be a closed subgroup of G which acts freely on M. We show that the quotient N := M/L carries metrics of nonnegative Ricci and almost nonnegative sectional curvature. Moreover, if N has finite fundamental group, then N admits also metrics of positive Ricci curvature. Particular examples include infinite families of simply connected manifolds with the rational cohomology rings and integral homology of complex and quaternionic projective spaces.
23 pages

Keywords

Differential Geometry, 53C20

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/66727

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0303092
 http://arxiv.org/abs/math/0303092

Collections

arXiv