Exponential gaps in the length spectrum
Dynamical Systems
2018-06-19 v1 Differential Geometry
Abstract
We present a separation property for the gaps in the length spectrum of a compact Riemannian manifold with negative curvature. In arbitrary small neighborhoods of the metric for some suitable topology, we show that there are negatively curved metrics with a length spectrum exponentially separated from below. This property was previously known to be false generically.
Keywords
Cite
@article{arxiv.1806.06764,
title = {Exponential gaps in the length spectrum},
author = {Emmanuel Schenck},
journal= {arXiv preprint arXiv:1806.06764},
year = {2018}
}