Rigid structures on 3-manifolds with a spherical homogeneous model
by
Victor Patrangenaru
Indiana University

3 and 4 dimensional maximal geometries in the sense of Thurston, are easily understood using the mechanichs of Cartan triples. We discuss a two step procedure on how to get a high degree of symmetry rigid structure on a three manifold starting with a trivialization of the tangent bundle. In particular one shows that the moduli space of local isometry classes of c.h. metrics with a spherical homogeneous model is infinite dimensional.

Date received: January 18, 1996

Copyright © 1996 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caaa-04.