Flat Lorentz 3-Manifolds and Cocompact Fuchsian Groups
微分几何
2007-06-17 v1
摘要
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.
引用
@article{arxiv.math/0005292,
title = {Flat Lorentz 3-Manifolds and Cocompact Fuchsian Groups},
author = {William M. Goldman and Gregory A. Margulis},
journal= {arXiv preprint arXiv:math/0005292},
year = {2007}
}
备注
to appear in "Crystallographic Groups and their Generalizations II," Contemporary Mathematics