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Literatur
Chern, S. S., andR. K. Lashof: On the total curvature of immersed manifolds I. Am. J. Math.79, 396–398 (1957); and II, Mich. J. Math.5, 5–12 (1958).
Erle, D.: Über eine mod-2-Invariante der Cobordismus-Klasse eines Knotens. Diplomarbeit, Bonn 1964.
Fary, I.: Sur la courbure totale d'une courbe gauche faisant un noeud. Bull. Soc. Math. France77, 128–138 (1949).
Ferus, D.: Die absolute Totalkrümmung Riemannscher Immersionen. Diplomarbeit, Bonn 1966.
Kuiper, N. H.: Immersions with minimal total absolute curvature. Coll. de Geom. Diff. Glob., CBRM 1958, 75–88.
Levine, J.: Unknotting spheres in codimension two. Topology4, 9–16 (1965).
Milnor, J.: On the total curvature of knots. Ann. Math.52, 248–257 (1950).
— Differentiable structures. Lectures, Princeton University 1961.
— Morse theory. Ann. of Math. Studies51, Princeton (1961).
Palais, R.: Extending diffeomorphisms. Proc. Am. Math. Soc.11, 274–277 (1960).
Stallings, J.: The topology of high-dimensional piecewise-linear manifolds. Note, Princeton University 1962.
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Ferus, D. Über die absolute Totalkrümmung höher-dimensionaler Knoten. Math. Ann. 171, 81–86 (1967). https://doi.org/10.1007/BF01351641
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DOI: https://doi.org/10.1007/BF01351641