Métriques de lorentz zoll sur la surface de de sitter
DOI:
https://doi.org/10.22199/S07160917.1998.0001.00002Abstract
In this paper, we will built a Lorentzian sur faces (S, g) homeomorphe but not isometric to de Sitter surface and whose all geodesics of space type are periodic with the same lenght 2?. This gives lorentzian analogue to Zoll surfaces.
References
[1] Berger,M.:Lectures on Geodesic m Riemannian Geometry. Bombay: Tata Institute of F.R(19G5).
[2] L.Hesse,A.: Manifold all of whose Geodesics are Closed. Spriger-Verlag, Berlm Heidelberg New York (1978).
[3] Zoll,O.: Uber Flachen mit Scharen geschlossener geodatischer Linien. Math. Ann. 57,108-133 (1903).
[2] L.Hesse,A.: Manifold all of whose Geodesics are Closed. Spriger-Verlag, Berlm Heidelberg New York (1978).
[3] Zoll,O.: Uber Flachen mit Scharen geschlossener geodatischer Linien. Math. Ann. 57,108-133 (1903).
Published
2018-04-04
How to Cite
[1]
B. Mohamed, “Métriques de lorentz zoll sur la surface de de sitter”, Proyecciones (Antofagasta, On line), vol. 17, no. 1, pp. 13-21, Apr. 2018.
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