We extend the classical Morse inequalities in Riemannian Geometry to the geodesics joining two nonconjugate points on a Lorentzian manifold. The Morse inequalities are obtained developing a Morse Theory for a class of strongly indefinite functionals.
On the Morse inequalities for geodesics on Lorentzian manifolds / Abbondandolo, A.; Benci, V.; Fortunato, D.; Masiello, A.. - In: MATHEMATICAL RESEARCH LETTERS. - ISSN 1073-2780. - STAMPA. - 10:4(2003), pp. 435-445. [10.4310/MRL.2003.v10.n4.a3]
On the Morse inequalities for geodesics on Lorentzian manifolds
Masiello, A.
2003-01-01
Abstract
We extend the classical Morse inequalities in Riemannian Geometry to the geodesics joining two nonconjugate points on a Lorentzian manifold. The Morse inequalities are obtained developing a Morse Theory for a class of strongly indefinite functionals.File in questo prodotto:
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