This paper is devoted to the study of isometries of cohomogeneity one Riemannian spaces, namely Riemannian manifolds acted on by a Lie group of isometries G with principal orbits of codimension one. We show that, for a class of such manifolds, every one parameter group of isometries preserves the foliation induced by the action of the Lie group G. © 1995.
Cohomogeneity one Riemannian manifolds and Killing fields / F. PODESTA'. - In: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS. - ISSN 0926-2245. - STAMPA. - 5:(1995), pp. 311-320. [10.1016/0926-2245(95)00021-6]
Cohomogeneity one Riemannian manifolds and Killing fields
PODESTA', FABIO
1995
Abstract
This paper is devoted to the study of isometries of cohomogeneity one Riemannian spaces, namely Riemannian manifolds acted on by a Lie group of isometries G with principal orbits of codimension one. We show that, for a class of such manifolds, every one parameter group of isometries preserves the foliation induced by the action of the Lie group G. © 1995.
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