The total curvature of knotted spheres

Sunday, Dan

doi:10.1090/S0002-9904-1976-13997-3

Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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The total curvature of knotted spheres
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Bull. Amer. Math. Soc. 82 (1976), 140-142

References

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István Fáry, Sur la courbure totale d’une courbe gauche faisant un nœud, Bull. Soc. Math. France 77 (1949), 128–138 (French). MR 33118, DOI 10.24033/bsmf.1405
Werner Fenchel, On the differential geometry of closed space curves, Bull. Amer. Math. Soc. 57 (1951), 44–54. MR 40040, DOI 10.1090/S0002-9904-1951-09440-9
R. H. Fox, On the total curvature of some tame knots, Ann. of Math. (2) 52 (1950), 258–260. MR 37510, DOI 10.2307/1969468
J. W. Milnor, On the total curvature of knots, Ann. of Math. (2) 52 (1950), 248–257. MR 37509, DOI 10.2307/1969467