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math.AP2021★ 1 cited
Scale-invariant tangent-point energies for knots
Simon Blatt, Philipp Reiter, Armin Schikorra +1
We investigate minimizers and critical points for scale-invariant tangent-point energies of closed curves. We show that a) minimizing sequences in ambient isotopy…
math.AP2019★ 1 cited
On O'hara knot energies I: Regularity for critical knots
Simon Blatt, Philipp Reiter, Armin Schikorra
We develop a regularity theory for extremal knots of scale invariant knot energies defined by J. O'hara in 1991. This class contains as a special case the Möbius energy. For the Mö…
math.AP2012★ 1 cited
Regularity theory for tangent-point energies: The non-degenerate sub-critical case
Simon Blatt, Philipp Reiter
In this article we introduce and investigate a new two-parameter family of knot energies that contains the tangent-point energies. These energies are obtained by decou…