Geodesic
On the total curvature of minimizing geodesics on convex surfaces
Algebra i analiz, Tome 29 (2017) no. 1, pp. 189-208.

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We give a universal upper bound for the total curvature of a minimizing geodesic on a convex surface in the Euclidean space.
Keywords: geodesic, curvature, Liberman's lemma, development, tongue. 
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N. Lebedeva; A. Petrunin. On the total curvature of minimizing geodesics on convex surfaces. Algebra i analiz, Tome 29 (2017) no. 1, pp. 189-208. http://geodesic.mathdoc.fr/item/AA_2017_29_1_a7/

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