Graduation Year

2005

Document Type

Thesis

Degree

M.A.

Degree Granting Department

Mathematics and Statistics

Major Professor

Thomas Bieske.

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.

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