Infinitely many spacelike periodic trajectories on a class of Lorentz manifolds
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Carlo Greco (1994)
Rendiconti del Seminario Matematico della Università di Padova
Chiaki Tsukamoto (1981)
Annales scientifiques de l'École Normale Supérieure
Amiran, Edoh Y. (1997)
The New York Journal of Mathematics [electronic only]
Edoardo Vesentini (1982)
Banach Center Publications
Ursula Hammenstädt (1995)
Mathematische Annalen
Thomas Foertsch (2005)
Colloquium Mathematicae
We consider the Hausdorff metric on the space of compact convex subsets of a proper, geodesically complete metric space of globally non-positive Busemann curvature in which geodesics do not split, and characterize their surjective isometries. Moreover, an analogous characterization of the surjective isometries of the space of compact subsets of a proper, uniquely geodesic, geodesically complete metric space in which geodesics do not split is given.
Toshiaki Adachi, Sadahiro Maeda (2006)
Colloquium Mathematicae
We characterize Clifford hypersurfaces and Cartan minimal hypersurfaces in a sphere by some properties of extrinsic shapes of their geodesics.
Doyle, Peter G., Rossetti, Juan Pablo (2008)
The New York Journal of Mathematics [electronic only]
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