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References
Bishop, R. L., Crittenden, R. J.: Geometry of manifolds. New York: Academic Press, 1964
Borsuk, K.: Sur la courbure total des courbes fermées. Ann. Soc. Polon. Math.20, 251–265 (1947)
Fenchel, W.: Über Krümmung und Windung geschlossener Raumkurven. Math. Ann.101, 238–252 (1929)
Szenthe, J.: On the total curvature of closed curves in Riemannian manifolds. Publ. Math. Debrechen.15, 99–105 (1968)
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Dedicated to Professor Wilhelm Klingenberg on his 50th birthday
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Tsukamoto, Y. On the total absolute curvature of closed curves in manifolds of negative curvature. Math. Ann. 210, 313–319 (1974). https://doi.org/10.1007/BF01434285
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DOI: https://doi.org/10.1007/BF01434285