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The Steiner Problem on Closed Surfaces of Constant Curvature

Andrew Logan

出版	Brigham Young University. Department of Mathematics, 2015
URL	http://books.google.com.hk/books?id=rJsMzQEACAAJ&hl=&source=gbs_api

註釋

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.