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arxiv: 1406.0644 · v1 · pith:TKZBWPDWnew · submitted 2014-06-03 · 🧮 math.DS · math-ph· math.DG· math.MP

Morse Theory for geodesics in singular conformal metrics

classification 🧮 math.DS math-phmath.DGmath.MP
keywords conformalmetricsgeodesicsmorsetheorybrakedegeneratedevelop
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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.

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