A Counterexample to Guillemin's Zollfrei Conjecture
classification
🧮 math.DG
keywords
conjectureguilleminorientablezollfreiassumingbundlecircleclosed
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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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