We prove the Morse relations for the set of all geodesics connecting two non-conjugate points on a class of globally hyperbolic Lorentzian manifolds. We overcome the difficulties coming from the fact that the Morse index of every geodesic is infinite, and from the lack of the Palais-Smale condition, by using the Morse complex approach.

A Morse complex for Lorentzian geodesics

ABBONDANDOLO, ALBERTO;MAJER, PIETRO
2008-01-01

Abstract

We prove the Morse relations for the set of all geodesics connecting two non-conjugate points on a class of globally hyperbolic Lorentzian manifolds. We overcome the difficulties coming from the fact that the Morse index of every geodesic is infinite, and from the lack of the Palais-Smale condition, by using the Morse complex approach.
2008
Abbondandolo, Alberto; Majer, Pietro
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/183747
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