University of Illinois Urbana-Champaign

Length functions in flat metrics

Bankovic, Anja

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

Description

Title
Length functions in flat metrics
Author(s)
Bankovic, Anja
Issue Date
2013-08-22T16:41:19Z
Director of Research (if dissertation) or Advisor (if thesis)
Leininger, Christopher J.
Doctoral Committee Chair(s)
Athreya, Jayadev S.
Committee Member(s)
  • Leininger, Christopher J.
  • Kapovitch, Ilia
  • Alexander, Stephanie B.
Department of Study
Mathematics
Discipline
Mathematics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(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.
Graduation Semester
2013-08
Permalink
http://hdl.handle.net/2142/45475
Copyright and License Information
Copyright 2013 by Anja Bankovic. All rights reserved.

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