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A study of particular coordinate systems
Ragan, Jennifer D.
Ragan, Jennifer D.
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t11032_Ragan.pdf
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2011-05
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Thesis
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Electronic dissertations
Electronic dissertations
Electronic dissertations
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Abstract
This thesis is a study of the properties and relationships between isothermal, harmonic
and characteristic coordinate systems. The proof of the existence of isothermal and
characteristic coordinates on a manifold which is a graph is given using the Uniformization
theorem. Equations of prescribed mean curvature are discussed and the relationship between
equations of minimal surface type and mean curvature type are shown. It is also proven that
the map from a domain parameterized by characteristic coordinates to the domain parameterized
by isothermal coordinates is quasiconformal.
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Thesis (M.S.)--Wichita State University, College of Liberal Arts and Sciences, Dept. of Mathematics and Statistics.
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Wichita State University
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© Copyright 2011 by Jennifer D. Ragan. All rights reserved