Abstract
THIS PAPFR is part of the investigation of the fundamental groups of manifolds on which a non-compact semisimple Lie group may act. Earlier work in this direction has dealt largely with the linear representation theory of the fundumcntal group. In this paper we consider homomorphisms into isomctry groups of negatively curved manifolds. and in particular the question as to when a scmisimplc Lie group may act on a manifold whose fundamcnt;ll group is isomorphic to th;tt of a ncgativcly curved manifold.
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