Graduation Year
2006
Document Type
Thesis
Degree
M.A.
Degree Granting Department
Mathematics and Statistics
Major Professor
Thomas Bieske, Ph.D.
Keywords
Euclidean spaces, Bounded distortion, Moduli of curve families, Dilation, Absolute continuity on lines, Jacobian
Abstract
In this thesis, we examine quasiconformal mappings in Rn. We begin by proving basic properties of the modulus of curve families. We then give the geometric, analytic,and metric space definitions of quasiconformal maps and show their equivalence. We conclude with several computational examples.
Scholar Commons Citation
Purcell, Andrew, "Analysis of quasiconformal maps in Rn" (2006). USF Tampa Graduate Theses and Dissertations.
https://digitalcommons.usf.edu/etd/2663
