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A Morse index for geodesics in static Lorentz manifolds. (English) Zbl 0735.58011

We define a Morse index for geodesics in static Lorentz manifolds. This index is defined with abstract techniques of nonlinear analysis on manifolds. Using this index, we get the Morse relations for the action integral of two nonconjugate points of the manifold.

MSC:

58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces
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References:

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