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2002 On the minimizers of the Möbius cross energy of links
Zheng-Xu He
Experiment. Math. 11(2): 244-248 (2002).

Abstract

We give a geometric interpretation for the Euler-Lagrange equation for the Möbius cross energy of (nontrivially linked) 2-component links in the euclidean 3-space. The minimizer of this energy is conjectured to be a Hopf link of 2 round circles. We prove some elementary properties of the minimizers using the Euler-Lagrange equations. In particular, we give a rigorous proof of the fact that the minimizer is topologically a Hopf link.

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Zheng-Xu He. "On the minimizers of the Möbius cross energy of links." Experiment. Math. 11 (2) 244 - 248, 2002.

Information

Published: 2002
First available in Project Euclid: 3 September 2003

zbMATH: 1116.58300
MathSciNet: MR1959266

Subjects:
Primary: 58E10
Secondary: 49J10 , 57M25

Keywords: Hopf link , M\"obius cross energy

Rights: Copyright © 2002 A K Peters, Ltd.

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Vol.11 • No. 2 • 2002
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