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University of Illinois at Urbana-Champaign
Spectral geometry of hyperbolic 3-manifolds
Abstract
dc:descriptionThis thesis uses techniques from spectral geometry and builds from the work of Schoen, Culler and Shalen, Meyerhoff, and others to obtain various estimates and inequalities involving geometric data of hyperbolic 3-manifolds. These give numerical relationships between quantities like volume, length of geodesics, area of embedded surfaces, isoperimetric constants, eigenvalues of the Laplacian, and Margulis numbers for hyperbolic 3-manifolds.
Degree
thesis:*- Name thesis:degree_name
- Ph.D.
- Level thesis:degree_level
- Dissertation
- Discipline thesis:degree_discipline
- Mathematics
- Grantor
- University of Illinois at Urbana-Champaign
- Year dc:date
- 2011
Author and committee
dc:creator, dc:contributor.*- Author dc:creator
-
- Callahan, Patrick James
- Contributors dc:contributor
-
- Haken, Wolfgang
Subjects
dc:subject × 1Rights
dc:rights- Statement dc:rights
-
- Copyright 1994 Callahan, Patrick James
- Language dc:language
- eng
Identifiers
dc:identifier.*- Identifier
-
AAI9503152
(UMI)AAI9503152 - OAI identifier oai:identifier
- oai:www.ideals.illinois.edu:2142/22992