Upper and Lower Bounds and Modulus of Continuity of Decomposed Möbius Energies

Author:

Ishizeki Aya,Nagasawa TakeyukiORCID

Funder

KAKENHI

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Reference20 articles.

1. Auckly, D., Sadun, L.: A family of Möbius invariant 2-knot energies, in “Geometric Topology, Proceedings of the 1993 Georgia International Conference (University of Georgia, Athens, Georgia)”, Teil 1 (Ed.: W. H. Kazez), AMS/IP Studies in Advanced Mathematics, American Mathematical Society and International Press, Cambridge, pp. 235–258 (1997)

2. Blatt, S.: Boundedness and regularizing effects of O’Hara’s knot energies. J. Knot Theory Ramifications 21, 1250010 (2012)

3. Blatt, S.: Curves between Lipschitz and $$C^1$$ and their relation to geometric knot theory. J. Geom. Anal. 29(4), 3270–3292 (2019)

4. Blatt, S., Reiter, Ph, Schikorra, A.: Harmonic analysis meets critical knots. Critical points of the Möbius energy are smooth. Trans. Am. Math. Soc. 368(9), 6391–6438 (2016)

5. Blatt, S., Reiter, Ph., Schikorra, A.: On O’Hara knot energies I: regularity for critical knots. arXiv:1905.06064

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