Effective equidistribution of intersection points in hyperbolic manifolds
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866914175846973440 |
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| author | Torkaman, Tina Zhang, Yongquan |
| author_facet | Torkaman, Tina Zhang, Yongquan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_01143 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Effective equidistribution of intersection points in hyperbolic manifolds Torkaman, Tina Zhang, Yongquan Dynamical Systems Differential Geometry Geometric Topology 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. |
| title | Effective equidistribution of intersection points in hyperbolic manifolds |
| topic | Dynamical Systems Differential Geometry Geometric Topology |
| url | https://arxiv.org/abs/2512.01143 |