Degree Granting Department
Mathematics and Statistics
Viscosity solutions, Partial differential equations, Sub-riemannian geometry, Taylor polynomial, Lie group
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). Graduate Theses and Dissertations.