On the homology length spectrum of surfaces
Differential Geometry
2014-06-23 v1 Dynamical Systems
Abstract
On a surface with a Finsler metric, we investigate the asymptotic growth of the number of closed geodesics of length less than which minimize length among all geodesic multicurves in the same homology class. An important class of surfaces which are of interest to us are hyperbolic surfaces.
Keywords
Cite
@article{arxiv.1406.5432,
title = {On the homology length spectrum of surfaces},
author = {Daniel Massart and Hugo Parlier},
journal= {arXiv preprint arXiv:1406.5432},
year = {2014}
}