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arXiv · 1302.2496

A Counterexample to Guillemin's Zollfrei Conjecture

Stefan Suhr
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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.

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Stefan Suhr. 2013-02-11. A Counterexample to Guillemin's Zollfrei Conjecture. https://doi.org/10.1142/s1793525313500143

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