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1992 Minimizing the squared mean curvature integral for surfaces in space forms
Lucas Hsu, Rob Kusner, John Sullivan
Experiment. Math. 1(3): 191-207 (1992).

Abstract

We minimize a discrete version of the squared mean curvature integral for polyhedral surfaces in three-space, using Brakke's Surface Evolver [Brakke 1992]. Our experimental results support the conjecture that the smooth minimizers exist for each genus and are stereographic projections of certain minimal surfaces in the three-sphere.

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Lucas Hsu. Rob Kusner. John Sullivan. "Minimizing the squared mean curvature integral for surfaces in space forms." Experiment. Math. 1 (3) 191 - 207, 1992.

Information

Published: 1992
First available in Project Euclid: 25 March 2003

zbMATH: 0778.53001
MathSciNet: MR1203874

Subjects:
Primary: 53A10
Secondary: 53-04 , 53A05 , 53C42

Rights: Copyright © 1992 A K Peters, Ltd.

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Vol.1 • No. 3 • 1992
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