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Title:Length functions in flat metrics
Author(s):Bankovic, Anja
Director of Research:Leininger, Christopher J.
Doctoral Committee Chair(s):Athreya, Jayadev S.
Doctoral Committee Member(s):Leininger, Christopher J.; Kapovitch, Ilia; Alexander, Stephanie B.
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):hyperbolic metric
length functions
Euclidean cone metric
curves on surfaces
Abstract:This dissertation is concerned with equivalence relations on homotopy classes of curves coming from various spaces of at metrics on a genus g >1 surface. We prove an analog of a result of Randol (building on work of Horowitz) for subfamilies of at metrics coming from q-di erentials. In addition we also describe how these equivalence relations are related to each other.
Issue Date:2013-08-22
URI:http://hdl.handle.net/2142/45475
Rights Information:Copyright 2013 by Anja Bankovic. All rights reserved.
Date Available in IDEALS:2013-08-22
Date Deposited:2013-08


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