## 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

Dates
First available in Project Euclid: 13 July 2015