Communications in Analysis and Geometry
Volume 22 (2014)
Morse Theory for geodesics in singular conformal metrics
Pages: 779 – 809
Motivated by the use of degenerate Jacobi metrics for the study of brake orbits and homoclinics, as done in [3–5], we develop a Morse Theory for geodesics in conformal metrics having conformal factors vanishing on a regular hypersurface of a Riemannian manifold.