Abstract
We introduce a Möbius invariant energy associated to planar domains, as well as a generalization to space curves. This generalization is a Möbius version of Banchoff-Pohl's notion of area enclosed by a space curve. A relation with Gauss-Bonnet theorems for complete surfaces in hyperbolic space is also described.
Citation
Jun O'Hara. Gil Solanes. "Möbius invariant energies and average linking with circles." Tohoku Math. J. (2) 67 (1) 51 - 82, 2015. https://doi.org/10.2748/tmj/1429549579
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