English

Effective equidistribution of intersection points in hyperbolic manifolds

Dynamical Systems 2025-12-02 v1 Differential Geometry Geometric Topology

Abstract

In this paper, we establish effective equidistribution of transverse intersection points between properly immersed totally geodesic submanifolds of complementary dimensions in a finite-volume hyperbolic manifold with respect to the hyperbolic volume measure, as the volume of the submanifolds tends to infinity.

Keywords

Cite

@article{arxiv.2512.01143,
  title  = {Effective equidistribution of intersection points in hyperbolic manifolds},
  author = {Tina Torkaman and Yongquan Zhang},
  journal= {arXiv preprint arXiv:2512.01143},
  year   = {2025}
}

Comments

40 pages, 4 figures

R2 v1 2026-07-01T08:02:47.100Z