M\"obius invariant energies and average linking with circles
Differential Geometry
2016-03-21 v2
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.
Cite
@article{arxiv.1010.3764,
title = {M\"obius invariant energies and average linking with circles},
author = {Jun O'Hara and Gil Solanes},
journal= {arXiv preprint arXiv:1010.3764},
year = {2016}
}
Comments
36 pages Minor changes in version 2