Files in this item



application/pdfAnja_Bankovic.pdf (358kB)
(no description provided)PDF


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
Degree Granting Institution:University of Illinois at Urbana-Champaign
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
Rights Information:Copyright 2013 by Anja Bankovic. All rights reserved.
Date Available in IDEALS:2013-08-22
Date Deposited:2013-08

This item appears in the following Collection(s)

Item Statistics