Horocycles in hyperbolic 3-manifolds with Sierpiński limit sets
김수현
온라인
0
3694
2025.02.10 16:20
| 구분 | 동역학 |
|---|---|
| 일정 | 2025-02-19 10:30 ~ 12:00 |
| 강연자 | 김동률 (예일대학교) |
| 기타 | |
| 담당교수 | 임선희 |
Abstract:
Let M be a geometrically finite hyperbolic 3-manifold whose limit set is a round Sierpiński carpet, i.e. M is geometrically finite and acylindrical with a compact, totally geodesic convex core boundary. In this paper, we classify orbit closures of the 1-dimensional horocycle flow on the frame bundle of M. As a result, the closure of a horocycle in M is a properly immersed submanifold. This extends the work of McMullen-Mohammadi-Oh where M is further assumed to be convex cocompact.
줌주소:
Let M be a geometrically finite hyperbolic 3-manifold whose limit set is a round Sierpiński carpet, i.e. M is geometrically finite and acylindrical with a compact, totally geodesic convex core boundary. In this paper, we classify orbit closures of the 1-dimensional horocycle flow on the frame bundle of M. As a result, the closure of a horocycle in M is a properly immersed submanifold. This extends the work of McMullen-Mohammadi-Oh where M is further assumed to be convex cocompact.
줌주소:
