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Title:Spectral geometry of hyperbolic 3-manifolds
Author(s):Callahan, Patrick James
Doctoral Committee Chair(s):Haken, Wolfgang
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract:This 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.
Issue Date:1994
Type:Text
Language:English
URI:http://hdl.handle.net/2142/22992
Rights Information:Copyright 1994 Callahan, Patrick James
Date Available in IDEALS:2011-05-07
Identifier in Online Catalog:AAI9503152
OCLC Identifier:(UMI)AAI9503152


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