Asian Journal of Mathematics

A Morse Complex for Lorentzian Geodesics

Alberto Abbondandolo and Pietro Majer
Source: Asian J. Math. Volume 12, Number 3 (2008), 299-320.

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.

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Primary Subjects: 58E10, 53C50
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.ajm/1226527085
Mathematical Reviews number (MathSciNet): MR2453558
Zentralblatt MATH identifier: 05519473


2012 © International Press of Boston

Asian Journal of Mathematics

Asian Journal of Mathematics