Abstract

The n-point Steiner problem in the Euclidean plane is to find a least length path network connecting n points. In this thesis we will demonstrate how to find a least length path network T connecting n points on a closed 2-dimensional Riemannian surface of constant curvature by determining a region in the covering space that is guaranteed to contain T. We will then provide an algorithm for solving the n-point Steiner problem on such a surface.

Degree

MS

College and Department

Physical and Mathematical Sciences; Mathematics

Rights

http://lib.byu.edu/about/copyright/

Date Submitted

2015-03-01

Document Type

Thesis

Handle

http://hdl.lib.byu.edu/1877/etd7628

Keywords

Steiner problem, Riemannian manifold, closed surfaces of constant curvature

Included in

Mathematics Commons

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