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Appliies variational methods and critical point theory on infinite
dimenstional manifolds to some problems in Lorentzian geometry
which have a variational nature, such as existence and multiplicity
results on geodesics and relations between such geodesics and the
topology of the manifold.
The aim of this work is to apply variational methods and critical
point theory on infinite dimensional manifolds, to some problems in
Lorentzian Geometry which have a variational nature, such as
existence and multiplicity results on geodesics and Relations
between such geodesics and the topology of the manifold (in the
spirit of Morse Theory). In particular Ljusternik-Schnirelmann
critical point theory and Morse theory are exploited. Moreover, the
results for general Lorentzian manifolds should be applied to
physically relevant space-times of General Relativity, like
Schwarzschild and Kerr space-times.
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