Fine analysis of critical knots (Stationary points of the Moebius energy are smooth)

Details Fine analysis of critical knots (Stationary points of the Moebius energy are smooth) Fine analysis of critical knots (Stationary points of the Moebius energy are smooth)

2012-02-24

arxiv.org/abs/1202.5426v1

Mathematics

Analysis of PDEs

Scientific paper

We prove that if a curve parametrized by arc length is a stationary point of
the Moebius energy introduced by Jun O'Hara, then it is smooth whenever the
Moebius energy is finite. Our methods, interestingly, only rely on purely
analytical arguments, entirely without using Moebius invariance.

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