On the Hausdorff dimension of geodesics with bounded self-intersection angle
Geometric Topology
2025-09-19 v1
Abstract
We expand a result of Birman and Series (1985) by proving that the set of geodesics whose self-intersection angles are bounded from below has Hausdorff dimension zero. In addition, we show that the set of geodesics that do not bound a geodesic triangle also has Hausdorff dimension zero.
Keywords
Cite
@article{arxiv.2509.14825,
title = {On the Hausdorff dimension of geodesics with bounded self-intersection angle},
author = {Joaquín Lejtreger},
journal= {arXiv preprint arXiv:2509.14825},
year = {2025}
}
Comments
31 pages, 7 figures