Isolations of geodesic planes in the frame bundle of a hyperbolic $3$-manifold
Dynamical Systems
2022-11-04 v3 Geometric Topology
Abstract
We present a quantitative isolation property of the lifts of properly immersed geodesic planes in the frame bundle of a geometrically finite hyperbolic -manifold. Our estimates are polynomials in the tight areas and Bowen-Margulis-Sullivan densities of geodesic planes, with degree given by the modified critical exponents.
Keywords
Cite
@article{arxiv.2002.06579,
title = {Isolations of geodesic planes in the frame bundle of a hyperbolic $3$-manifold},
author = {Amir Mohammadi and Hee Oh},
journal= {arXiv preprint arXiv:2002.06579},
year = {2022}
}
Comments
47 pages, 4 figures; to appear in Compositio Mathematica