Flat Lorentz 3-Manifolds and Cocompact Fuchsian Groups
By William M. Goldman, Gregory Margulis. 2000
63 citations recorded by the source corpus.
This paper gives a new proof of a result of Geoff Mess that the linear holonomy group of a complete flat Lorentz 3-manifold cannot be cocompact in SO(2,1). The proof uses a signed marked Lorentzian length-spectrum invariant developed by G.Margulis, reinterpreted in terms of deformations of hyperbolic surfaces.
Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/72b4ebd896f9020f8443c70e2d8413c2c792fb54
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In Applied Mathematics
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Properly Discontinuous Groups of Affine Transformations: A Survey (2001, background): “Goldman and Margulis [ GM ] gave a new proof of the following theorem of Mess [Me].”