On the geometry at infinity of the universal covering of
Marcos Salvai (2000)
Rendiconti del Seminario Matematico della Università di Padova
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Marcos Salvai (2000)
Rendiconti del Seminario Matematico della Università di Padova
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Ernesto A. Lacomba, J. Guadalupe Reyes (1998)
Publicacions Matemàtiques
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We extend here results for escapes in any given direction of the configuration space of a mechanical system with a non singular bounded at infinity homogeneus potential of degree -1, when the energy is positive. We use geometrical methods for analyzing the parallel and asymptotic escapes of this type of systems. By using Riemannian geometry methods we prove under suitable conditions on the potential that all the orbits escaping in a given direction are asymptotically parallel among themselves....
Urs Lang, Viktor Schroeder (1997)
Annales scientifiques de l'École Normale Supérieure
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Francis Bonahon (1997)
Annales scientifiques de l'École Normale Supérieure
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Maciej Wojtkowski (1982)
Studia Mathematica
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John Beem (1997)
Banach Center Publications
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Lorentzian geometry in the large has certain similarities and certain fundamental differences from Riemannian geometry in the large. The Morse index theory for timelike geodesics is quite similar to the corresponding theory for Riemannian manifolds. However, results on completeness for Lorentzian manifolds are quite different from the corresponding results for positive definite manifolds. A generalization of global hyperbolicity known as pseudoconvexity is described. It has important...
Zhu, Xiaodong, Bonahon, Francis (2004)
Geometry & Topology
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Stanislaw L. Bażański (1977)
Annales de l'I.H.P. Physique théorique
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