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October 2014 A decomposition theorem of the Möbius energy I: Decomposition and Möbius invariance
Aya Ishizeki, Takeyuki Nagasawa
Kodai Math. J. 37(3): 737-754 (October 2014). DOI: 10.2996/kmj/1414674619

Abstract

The Möbius energy, defined for closed curves embedded in Rn, is decomposed into three parts. It is called the Möbius energy since it is invariant under Möbius transformations. An alternative proof of the Möbius invariance is given using the decomposition. Furthermore the invariance of each part of decomposition is discussed.

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Aya Ishizeki. Takeyuki Nagasawa. "A decomposition theorem of the Möbius energy I: Decomposition and Möbius invariance." Kodai Math. J. 37 (3) 737 - 754, October 2014. https://doi.org/10.2996/kmj/1414674619

Information

Published: October 2014
First available in Project Euclid: 30 October 2014

zbMATH: 1312.53008
MathSciNet: MR3273894
Digital Object Identifier: 10.2996/kmj/1414674619

Rights: Copyright © 2014 Tokyo Institute of Technology, Department of Mathematics

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Vol.37 • No. 3 • October 2014
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