Duistermaat-Heckman measures in a non-compact setting
Elisa Prato, Siye Wu (1994)
Compositio Mathematica
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Elisa Prato, Siye Wu (1994)
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Éric Séré (1993)
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Božidar Jovanović (2008)
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B. Bonnard, E. Trélat (2001)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Ernesto A. Lacomba, J. Guadalupe Reyes (1998)
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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....