M\"obius invariant energies and average linking with circles

Jun O'Hara; Gil Solanes

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arXiv · 1010.3764

M\"obius invariant energies and average linking with circles

Jun O'Hara·Gil Solanes

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Abstract

We define and study a M\"obius invariant energy associated to planar domains, as well its generalization to space curves. This generalization is a M\"obius 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.

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Jun O'Hara, Gil Solanes. 2010-10-19. M\"obius invariant energies and average linking with circles. https://arxiv.org/abs/1010.3764

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