Literature Cited
I. Fary, “Sur la courbure totale d'une courbe gauche faisant un noeud,” Bull. Soc. Math. France,77, 11–22 (1949).
I. Fary, “Sur certaines inegalites geometriques,” Acta. Scient. Mathe.,12, p. A, 117–124 (1950).
I. Milnor, “On total curvatures of closed space curves,” Math. Scand.,1, No. 2, 289–296 (1953).
Yu. G. Reshetnyak, “Method of orthogonal projections in the theory of curves,” Vestnik Leningrad. Un-ta,3, 22–26 (1957).
Yu. D. Burago, “Inequalities of the isoperimetric type in the theory of surfaces of bounded external curvature,” Zapiski Nauchnykh Seminarov Leningradskogo Otd. Ordene Lenina Matematicheskogo Instituta im. V. A. Steklova,10 (1968).
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Translated from Sibirskii Matematicheskii Zhurnal, Vol. 13, No. 3, pp. 645–658, May–June, 1972.
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Slavskii, V.V. An integral-geometric relationship in surface theory. Sib Math J 13, 444–452 (1972). https://doi.org/10.1007/BF00968122
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DOI: https://doi.org/10.1007/BF00968122