M?bius invariant energy of tori of revolution

Tangled Magnetic Fields in Astro- and Plasma Physics; Quantised Flux in Tightly Knotted and Linked Systems

Funaba, H.^1 ; O'Hara, J.^1

Department of Mathematics and Information Sciences, Tokyo Metropolitan University, 1-1 Minami-Ohsawa, Hachiouji-Shi, Tokyo

192-0397, Japan^1

关键词: ClIFFORD;    Invariant surfaces;    Minimum value;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/544/1/012019/pdf
DOI  :  10.1088/1742-6596/544/1/012019

来源: IOP

【 摘 要 】

We show that among tori of revolution the Clifford torus gives the minimum value of the Mobius invariant surface energy defined by Auckly and Sadun.