2 options
On quasi-isometric invariants: Rigidity and related phenomena.
Dissertations & Theses @ University of Pennsylvania Available online
Dissertations & Theses @ University of Pennsylvania- Format:
- Book
- Thesis/Dissertation
- Author/Creator:
- Pauls, Scott D.
- Language:
- English
- Subjects (All):
- Mathematics.
- 0405.
- Local Subjects:
- 0405.
- Physical Description:
- 100 pages
- Contained In:
- Dissertation Abstracts International 59-04B.
- System Details:
- Mode of access: World Wide Web.
- text file
- Summary:
- We investigate quasi-isometric invariants that are outgrowths of extensions of Mostow's strong rigidity. In particular, we extend a theorem of Hamenstadt, proving the rigidity of pinched negatively curved manifolds whose deck groups acting on their universal covers satisfy the duality condition and that have higher hyperbolic rank. Also, we consider quasi-isometric embeddings of nonabelian nilpotent Lie groups and construct a new invariant for them. We use this invariant to prove that there do not exist quasi-isometric embeddings of a nonabelian nilpotent Lie group into a space of nonpositive curvature.
- Notes:
- Source: Dissertation Abstracts International, Volume: 59-04, Section: B, page: 1686.
- Adviser: Christopher B. Croke.
- Thesis (Ph.D.)--University of Pennsylvania, 1998.
- Local Notes:
- School code: 0175.
- ISBN:
- 9780591827828
- Access Restriction:
- Restricted for use by site license.
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.