Date of Award

2007

Document Type

Thesis

Degree Name

Master of Arts in Mathematics

Department

Mathematics

First Advisor

Wang, Wenxiang

Second Advisor

Trapp, Rolland

Third Advisor

Stanton, Charles

Abstract

The focus of this project consists of investigating when a ruled surface is a minimal surface. A minimal surface is a surface with zero mean curvature. In this project the basic terminology of differential geometry will be discussed including examples where the terminology will be applied to the different subjects of differential geometry. In addition the focus will be on a classical theorem of minimal surfaces referred to as the Plateau's Problem.

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