Abstract
We show that the only compact positively curved Riemannian manifolds of even dimension acted on by a simple group with a codimension one orbit are the compact rank one symmetric spaces.
Citation
Luigi Verdiani. "Cohomogeneity One Manifolds of Even Dimension with Strictly Positive Sectional Curvature." J. Differential Geom. 68 (1) 31 - 72, September 2004. https://doi.org/10.4310/jdg/1102536709
Information
Published: September 2004
First available in Project Euclid: 8 December 2004
zbMATH: 1100.53033
MathSciNet: MR2152908
Digital Object Identifier: 10.4310/jdg/1102536709
Rights: Copyright © 2004 Lehigh University
