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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 resource]
상세정보
- 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
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■00520240214100105
■006m o d
■007cr#unu||||||||
■020 ▼a9798379782368
■035 ▼a(MiAaPQ)AAI30419215
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a510
■1001 ▼aAl Assal, Fernando.
■24510▼aLimits of Asymptotically Fuchsian Surfaces in a Closed Hyperbolic 3-Manifold▼h[electronic resource]
■260 ▼a[S.l.]:▼bYale University. ▼c2023
■260 1▼aAnn Arbor :▼bProQuest Dissertations & Theses, ▼c2023
■300 ▼a1 online resource(87 p.)
■500 ▼aSource: Dissertations Abstracts International, Volume: 85-01, Section: B.
■500 ▼aAdvisor: Minsky, Yair.
■5021 ▼aThesis (Ph.D.)--Yale University, 2023.
■506 ▼aThis item must not be sold to any third party vendors.
■520 ▼aLet 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.
■590 ▼aSchool code: 0265.
■650 4▼aMathematics.
■650 4▼aTheoretical mathematics.
■653 ▼aFuchsian surfaces
■653 ▼aHyperbolic 3-manifold
■653 ▼aProbability volume
■653 ▼aGrassmann bundle
■653 ▼aGeodesic surface
■690 ▼a0405
■690 ▼a0642
■71020▼aYale University▼bMathematics.
■7730 ▼tDissertations Abstracts International▼g85-01B.
■773 ▼tDissertation Abstract International
■790 ▼a0265
■791 ▼aPh.D.
■792 ▼a2023
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T16931700▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
■980 ▼a202402▼f2024
