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VOL. 13 | 2012 Cohomogeneity Two Riemannian Manifolds of Non-Positive Curvature
Reza Mirzaie

Editor(s) Ivaïlo M. Mladenov, Andrei Ludu, Akira Yoshioka

Abstract

We consider a Riemannian manifold $M$ (dim$M\geq 3$), which is flat or has negative sectional curvature. We suppose that there is a closed and connected subgroup $G$ of Iso$(M)$ such that dim$({M}/{G})=2$. Then we study some topological properties of $M$ and the orbits of the action of $G$ on $M$.

Information

Published: 1 January 2012
First available in Project Euclid: 13 July 2015

MathSciNet: MR3087974

Digital Object Identifier: 10.7546/giq-13-2012-233-244

Rights: Copyright © 2012 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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