We are inviting IDEALS users, both people looking for materials in IDEALS and those who want to deposit their work, to give us feedback on improving this service through an interview. Participants will receive a $20 VISA gift card. Please sign up via https://forms.illinois.edu/sec/4069811

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