Morse Theory for geodesics in singular conformal metrics
Dynamical Systems
2015-03-20 v1 Mathematical Physics
Differential Geometry
math.MP
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.
Cite
@article{arxiv.1406.0644,
title = {Morse Theory for geodesics in singular conformal metrics},
author = {R. Giambò and F. Giannoni and P. Piccione},
journal= {arXiv preprint arXiv:1406.0644},
year = {2015}
}
Comments
22 pages. To appear in Communications in Analysis and Geometry