Degree Granting Department
Mathematics and Statistics
Thomas Bieske, Ph.D.
Euclidean spaces, Bounded distortion, Moduli of curve families, Dilation, Absolute continuity on lines, Jacobian
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). Graduate Theses and Dissertations.