Transitive isometry groups with noncompact isotropy

Isabel Dotti de Miatello and Roberto Jorge Miatello

Vol. 131 (1988), No. 1, 167–178

DOI: 10.2140/pjm.1988.131.167

Abstract

Let G be a connected Lie group acting effectively and transitively by isometries on a riemannian manifold M. Then G is a Lie subgroup of the full isometry group, which is not necessarily closed. In this paper we study the structure of the closure of G in I(M) and illustrate the results with examples, with non-compact isotropy, where the closure is described explicitly.

Mathematical Subject Classification 2000

Primary: 53C30

Secondary: 57S25

Milestones

Received: 5 August 1986

Revised: 28 October 1986

Published: 1 January 1988