| LDR | | 01908nmm uu200397 4500 |
| 001 | | 000000333344 |
| 005 | | 20240805172843 |
| 008 | | 181129s2018 |||||||||||||||||c||eng d |
| 020 | |
▼a 9780438088405 |
| 035 | |
▼a (MiAaPQ)AAI10816491 |
| 035 | |
▼a (MiAaPQ)uchicago:14387 |
| 040 | |
▼a MiAaPQ
▼c MiAaPQ
▼d 248032 |
| 082 | 0 |
▼a 510 |
| 100 | 1 |
▼a Butler, Clark. |
| 245 | 10 |
▼a Characterizing Symmetric Spaces by Their Lyapunov Spectra. |
| 260 | |
▼a [S.l.] :
▼b The University of Chicago.,
▼c 2018 |
| 260 | 1 |
▼a Ann Arbor :
▼b ProQuest Dissertations & Theses,
▼c 2018 |
| 300 | |
▼a 108 p. |
| 500 | |
▼a Source: Dissertation Abstracts International, Volume: 79-11(E), Section: B. |
| 500 | |
▼a Adviser: Amie Wilkinson. |
| 502 | 1 |
▼a Thesis (Ph.D.)--The University of Chicago, 2018. |
| 520 | |
▼a This thesis uses methods from hyperbolic dynamics, Riemannian geometry, and analysis on metric spaces to obtain new rigidity results for negatively curved Riemannian manifolds. |
| 520 | |
▼a 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 |
| 520 | |
▼a 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 |
| 590 | |
▼a School code: 0330. |
| 650 | 4 |
▼a Mathematics. |
| 690 | |
▼a 0405 |
| 710 | 20 |
▼a The University of Chicago.
▼b Mathematics. |
| 773 | 0 |
▼t Dissertation Abstracts International
▼g 79-11B(E). |
| 773 | |
▼t Dissertation Abstract International |
| 790 | |
▼a 0330 |
| 791 | |
▼a Ph.D. |
| 792 | |
▼a 2018 |
| 793 | |
▼a English |
| 856 | 40 |
▼u http://www.riss.kr/pdu/ddodLink.do?id=T14998256
▼n KERIS |
| 980 | |
▼a 201812
▼f 2019 |
| 990 | |
▼a 관리자 |