Journal of Differential Geometry

On spacelike Zoll surfaces with symmetries

Pierre Mounoud and Stefan Suhr

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Abstract

Three explicit families of spacelike Zoll surface admitting a Killing field are provided. It allows to prove the existence of spacelike Zoll surfaces not smoothly conformal to a cover of de Sitter space as well as the existence of Lorentzian Möbius strips of non constant curvature all of whose spacelike geodesics are closed. Further the conformality problem for spacelike Zoll cylinders is studied.

Article information

Source
J. Differential Geom. Volume 102, Number 2 (2016), 243-284.

Dates
First available in Project Euclid: 27 January 2016

Permanent link to this document
https://projecteuclid.org/euclid.jdg/1453910455

Digital Object Identifier
doi:10.4310/jdg/1453910455

Mathematical Reviews number (MathSciNet)
MR3454547

Zentralblatt MATH identifier
1338.53097

Citation

Mounoud, Pierre; Suhr, Stefan. On spacelike Zoll surfaces with symmetries. J. Differential Geom. 102 (2016), no. 2, 243--284. doi:10.4310/jdg/1453910455. https://projecteuclid.org/euclid.jdg/1453910455


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