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.
Citation
Alberto Abbondandolo. Pietro Majer. "A Morse Complex for Lorentzian Geodesics." Asian J. Math. 12 (3) 299 - 320, September 2008.
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