Möbius invariant energies and average linking with circles

Details Möbius invariant energies and average linking with circles Möbius invariant energies and average linking with circles

2010-10-19

arxiv.org/abs/1010.3764v2

Mathematics

Differential Geometry

36 pages Minor changes in version 2

Scientific paper

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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