A remark on O’Hara’s energy of knots
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- by Nobumitsu Nakauchi PDF
- Proc. Amer. Math. Soc. 118 (1993), 293-296 Request permission
Abstract:
We show a relation between O’Hara’s energy of knots and the Douglas functional.References
- Lars V. Ahlfors, Conformal invariants: topics in geometric function theory, McGraw-Hill Series in Higher Mathematics, McGraw-Hill Book Co., New York-Düsseldorf-Johannesburg, 1973. MR 0357743
- Richard Courant, Dirichlet’s principle, conformal mapping, and minimal surfaces, Springer-Verlag, New York-Heidelberg, 1977. With an appendix by M. Schiffer; Reprint of the 1950 original. MR 0454858, DOI 10.1007/978-1-4612-9917-2
- Jesse Douglas, Solution of the problem of Plateau, Trans. Amer. Math. Soc. 33 (1931), no. 1, 263–321. MR 1501590, DOI 10.1090/S0002-9947-1931-1501590-9
- Jun O’Hara, Energy of a knot, Topology 30 (1991), no. 2, 241–247. MR 1098918, DOI 10.1016/0040-9383(91)90010-2 —, Family of energy functionals of knot, preprint. —, Energy functionals of knots, preprint.
- Michael Struwe, Plateau’s problem and the calculus of variations, Mathematical Notes, vol. 35, Princeton University Press, Princeton, NJ, 1988. MR 992402
Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 118 (1993), 293-296
- MSC: Primary 58E12; Secondary 57M25
- DOI: https://doi.org/10.1090/S0002-9939-1993-1132418-2
- MathSciNet review: 1132418