A Morse complex for Lorentzian geodesics
Differential Geometry
2008-12-23 v3
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.
Cite
@article{arxiv.math/0605261,
title = {A Morse complex for Lorentzian geodesics},
author = {Alberto Abbondandolo and Pietro Majer},
journal= {arXiv preprint arXiv:math/0605261},
year = {2008}
}
Comments
19 pages; updated references, final version