Graduation Year
2005
Document Type
Thesis
Degree
M.A.
Degree Granting Department
Mathematics and Statistics
Major Professor
Thomas Bieske, Ph.D.
Committee Member
Yan Wu, Ph.D.
Committee Member
Manoug Manougian, Ph.D.
Keywords
Viscosity solutions, Partial differential equations, Sub-riemannian geometry, Taylor polynomial, Lie group
Abstract
In this thesis, we examine key geometric properties of a class of Carnot groups of Heisenberg type. After first computing the geodesics, we consider some partial differential equations in such groups and discuss viscosity solutions to these equations.
Scholar Commons Citation
McNamee, Meagan, "Analysis on a Class of Carnot Groups of Heisenberg Type" (2005). USF Tampa Graduate Theses and Dissertations.
https://digitalcommons.usf.edu/etd/767
