A Morse index for geodesics in static Lorentz manifolds (Q811525)
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scientific article; zbMATH DE number 4215958
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Morse index for geodesics in static Lorentz manifolds |
scientific article; zbMATH DE number 4215958 |
Statements
A Morse index for geodesics in static Lorentz manifolds (English)
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1992
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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.
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Morse index
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geodesics
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Lorentz manifold
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Morse relations
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critical points
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conjugate points
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geometric index
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