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Characterizing Symmetric Spaces by Their Lyapunov Spectra
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| 자료유형 | E-Book |
|---|---|
| 개인저자 | Butler, Clark. |
| 단체저자명 | The University of Chicago. Mathematics. |
| 서명/저자사항 | Characterizing Symmetric Spaces by Their Lyapunov Spectra. |
| 발행사항 | [S.l.] : The University of Chicago., 2018 |
| 발행사항 | Ann Arbor : ProQuest Dissertations & Theses, 2018 |
| 형태사항 | 108 p. |
| 소장본 주기 | School code: 0330. |
| ISBN | 9780438088405 |
| 일반주기 |
Source: Dissertation Abstracts International, Volume: 79-11(E), Section: B.
Adviser: Amie Wilkinson. |
| 요약 | This thesis uses methods from hyperbolic dynamics, Riemannian geometry, and analysis on metric spaces to obtain new rigidity results for negatively curved Riemannian manifolds. |
| 요약 | We prove that closed, negatively curved locally symmetric spaces are locally characterized up to isometry by the Lyapunov spectra of the periodic orbits of their geodesic flows. This is done by constructing a new invariant measure for the geodes |
| 요약 | Our methods extend to give rigidity theorems for smooth flows obtained as perturbations of the geodesic flows of these locally symmetric spaces. The techniques developed in this paper are focused on the symmetric spaces of nonconstant negative c |
| 일반주제명 | Mathematics. |
| 언어 | 영어 |
| 기본자료 저록 | Dissertation Abstracts International79-11B(E). Dissertation Abstract International |
| 대출바로가기 | http://www.riss.kr/pdu/ddodLink.do?id=T14998256 |
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| No. | 등록번호 | 청구기호 | 소장처 | 도서상태 | 반납예정일 | 예약 | 서비스 | 매체정보 |
|---|---|---|---|---|---|---|---|---|
| 1 | WE00027671 | 510 | 가야대학교// | 대출가능 |
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