A Counterexample to Guillemin's Zollfrei Conjecture
Differential Geometry
2014-02-24 v1
Abstract
We construct Zollfrei Lorentzian metrics on every nontrivial orientable circle bundle over a orientable closed surface. Further we prove a weaker version of Guillemin's conjecture assuming global hyperbolicity of the universal cover.
Cite
@article{arxiv.1302.2496,
title = {A Counterexample to Guillemin's Zollfrei Conjecture},
author = {Stefan Suhr},
journal= {arXiv preprint arXiv:1302.2496},
year = {2014}
}
Comments
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