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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