Pierre Mounoud, Stefan Suhr
Published 2014-02-21Version 1
Three explicit families of spacelike Zoll surface admitting a Killing field are provided. It allows to prove the existence of spacelike Zoll surface not smoothly conformal to a cover of de Sitter space as well as the existence of Lorentzian M\"obius strips of non constant curvature all of whose spacelike geodesics are closed. Further the conformality problem for spacelike Zoll cylinders is studied.
Comments: Comments are welcome
Generalized de Sitter Space in $n$-dimensional Minkowski Space
On certain symmetries of $\mathbb R^3$ with a diagonal metric
Locally anti de Sitter spaces and deformation quantization
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