Limits of Asymptotically Fuchsian Surfaces in a Closed Hyperbolic 3-Manifold- [electronic resource]
Limits of Asymptotically Fuchsian Surfaces in a Closed Hyperbolic 3-Manifold- [electronic resource]
- 자료유형
- 학위논문파일 국외
- 최종처리일시
- 20240214100105
- ISBN
- 9798379782368
- DDC
- 510
- 서명/저자
- Limits of Asymptotically Fuchsian Surfaces in a Closed Hyperbolic 3-Manifold - [electronic resource]
- 발행사항
- [S.l.]: : Yale University., 2023
- 발행사항
- Ann Arbor : : ProQuest Dissertations & Theses,, 2023
- 형태사항
- 1 online resource(87 p.)
- 주기사항
- Source: Dissertations Abstracts International, Volume: 85-01, Section: B.
- 주기사항
- Advisor: Minsky, Yair.
- 학위논문주기
- Thesis (Ph.D.)--Yale University, 2023.
- 사용제한주기
- This item must not be sold to any third party vendors.
- 초록/해제
- 요약Let M be a closed hyperbolic 3-manifold. Let νGr M denote the probability volume (Haar) measure of the 2-plane Grassmann bundle Gr M of M and let νT denote the area measure on Gr M of an immersed closed totally geodesic surface T ⊂ M. We say a sequence of π1- injective maps fi : Si → M of surfaces Si is asymptotically Fuchsian if fi is Ki-quasifuchsian with Ki → 1 as i → ∞. We show that the set of weak-* limits of the probability area measures induced on Gr M by asymptotically Fuchsian minimal or pleated maps fi : Si → M of closed connected surfaces Si consists of all convex combinations of νGr M and the νT.
- 일반주제명
- Mathematics.
- 일반주제명
- Theoretical mathematics.
- 키워드
- Grassmann bundle
- 키워드
- Geodesic surface
- 기타저자
- Yale University Mathematics
- 기본자료저록
- Dissertations Abstracts International. 85-01B.
- 기본자료저록
- Dissertation Abstract International
- 전자적 위치 및 접속
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