Motivated by the use of degenerate Jacobi metrics for the study of brake orbits and homoclinics, we develop a Morse Theory for geodesics in conformal metrics having conformal factors vanishing on a regular hypersurface of a Riemannian manifold.
Morse Theory for geodesics in singular conformal metrics
GIAMBO', Roberto;GIANNONI, Fabio;
2014-01-01
Abstract
Motivated by the use of degenerate Jacobi metrics for the study of brake orbits and homoclinics, we develop a Morse Theory for geodesics in conformal metrics having conformal factors vanishing on a regular hypersurface of a Riemannian manifold.File in questo prodotto:
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