Proceedings of the International Conference on Geometry, Integrability and Quantization

Cohomogeneity Two Riemannian Manifolds of Non-Positive Curvature

Reza Mirzaie

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 $M$.

Article information

Source
Proceedings of the Thirteenth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov, Andrei Ludu and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2012), 233-244

Dates
First available in Project Euclid: 13 July 2015

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1436815528

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

Mathematical Reviews number (MathSciNet)
MR3087974

Zentralblatt MATH identifier

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