Length functions in flat metrics

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.

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

2013

Author dc:creator

• Bankovic, Anja

Contributors dc:contributor

• Leininger, Christopher J.
• Athreya, Jayadev S.
• Kapovitch, Ilia
• Alexander, Stephanie B.

• hyperbolic metric
• length functions
• Euclidean cone metric
• curves on surfaces

Statement dc:rights

• Copyright 2013 by Anja Bankovic. All rights reserved.

Language dc:language

en

Handle dc:identifier

http://hdl.handle.net/2142/45475

OAI identifier oai:identifier

oai:www.ideals.illinois.edu:2142/45475