A Morse index theorem for perturbed geodesics on semi-Riemannian manifolds (Q2386872)
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| Language | Label | Description | Also known as |
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| English | A Morse index theorem for perturbed geodesics on semi-Riemannian manifolds |
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A Morse index theorem for perturbed geodesics on semi-Riemannian manifolds (English)
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25 August 2005
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The trajectories of particles moving on a semi-Riemannian manifold in the presence of a time-dependent potential are called perturbed geodesics. Using the special flow of an associated family of index forms the authors present a version of the Morse index theorem in this setting. Then the generalized Morse index equals the total number of conjugate points.
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perturbed geodesics
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semi-Riemannian manifolds
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spectral flow
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conjugate points
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