Papers › On the total curvature of minimizing geodesics on convex surfaces

On the total curvature of minimizing geodesics on convex surfaces

24 Nov 2015arXiv:1511.07911links table onlyarchive 2025-07-28

Nina Lebedeva, Anton Petrunin

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We give a universal upper bound for the total curvature of minimizing geodesic on a convex surface in the Euclidean space.

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