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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...
Inhalt Info
Limits of Asymptotically Fuchsian Surfaces in a Closed Hyperbolic 3-Manifold- [electronic resource]
자료유형  
 학위논문파일 국외
최종처리일시  
20240214100105
ISBN  
9798379782368
DDC  
510
저자명  
Al Assal, Fernando.
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  
Fuchsian surfaces
키워드  
Hyperbolic 3-manifold
키워드  
Probability volume
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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