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The Convex Hull Construction for Compact Surfaces and the Dirichlet Polygon

The Convex Hull Construction for Compact Surfaces and the Dirichlet Polygon We describe the construction of Dirichlet domains for a closed surface in terms of a convex hull construction in Minkowski space. The equations governing this construction are found to be analogues of Ptolemy's theorem on cyclic Euclidean quadrilaterals. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

The Convex Hull Construction for Compact Surfaces and the Dirichlet Polygon

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References (7)

Publisher
Wiley
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/blms/23.6.568
Publisher site
See Article on Publisher Site

Abstract

We describe the construction of Dirichlet domains for a closed surface in terms of a convex hull construction in Minkowski space. The equations governing this construction are found to be analogues of Ptolemy's theorem on cyclic Euclidean quadrilaterals.

Journal

Bulletin of the London Mathematical SocietyWiley

Published: Nov 1, 1991

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