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Uniform TitleParameterizations of Teichmüller spaces of surfaces with boundary
NameGuo, Ren (author), Luo, Feng (chair), Ferry, Steven (internal member), Rong, Xiaochun (internal member), Maher, Joseph (outside member), Rutgers University, Graduate School - New Brunswick,
Degree Date2008-05
Date Created2008
SubjectMathematics,
Teichmüller spaces
DescriptionThe Teichmüller space of a surface with boundary is the space of all isotopy classes of hyperbolic metrics with totally geodesic boundary. Using the cosine law of a hyperbolic
right-angled hexagon, Feng Luo introduced a continuous family of new coordinates of the Teichmüller space: the $psi_{lambda}$
coordinate. He proved that for $lambda geq 0$, the image of the Teichmüller space under the $psi_{lambda}$ coordinate is an open convex polytope independent of $lambda$. In this
dissertation, we verify Luo's conjecture that for $lambda [less than]0$, the image of the Teichmüller space under the $psi_{lambda}$
coordinate is a bounded open convex polytope.
right-angled hexagon, Feng Luo introduced a continuous family of new coordinates of the Teichmüller space: the $psi_{lambda}$
coordinate. He proved that for $lambda geq 0$, the image of the Teichmüller space under the $psi_{lambda}$ coordinate is an open convex polytope independent of $lambda$. In this
dissertation, we verify Luo's conjecture that for $lambda [less than]0$, the image of the Teichmüller space under the $psi_{lambda}$
coordinate is a bounded open convex polytope.
NotePh.D.
NoteIncludes bibliographical references (p. 29).
Genretheses
Persistent URLhttp://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.17412
LanguageEnglish
CollectionGraduate School - New Brunswick Electronic Theses and Dissertations
Organization NameRutgers, The State University of New Jersey
RightsThe author owns the copyright to this work.
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