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Paper   IPM / M / 738
School of Mathematics
  Title:   On the topological properties of some cohomogeneity one manifolds of non positive curvature
  Author(s):  S. M. B. Kashani
  Status:   Published
  Journal: Ital. J. pure Appl. Math.
  Vol.:  15
  Year:  2004
  Pages:   49-56
  Supported by:  IPM
In this paper we study some non positively curved (especially flat) Riemannian manifolds acted on by a closed Lie group of isometries with principal orbits of codimension one. Among other results. It is proved that the orbit space of such manifolds can not be [0,1] and the singular orbit (if it exists) is a totally geodesic submanifold.

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