Proceedings of the International Conference on Geometry, Integrability and Quantization

Cohomogeneity Two Riemannian Manifolds of Non-Positive Curvature

Reza Mirzaie


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 $M$.

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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

First available in Project Euclid: 13 July 2015

Permanent link to this document euclid.pgiq/1436815528

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