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arxiv: 1511.07911 · v3 · pith:PJEITXNKnew · submitted 2015-11-24 · 🧮 math.DG · math.MG

On the total curvature of minimizing geodesics on convex surfaces

classification 🧮 math.DG math.MG
keywords convexcurvatureminimizingtotalboundeuclideangeodesicgeodesics
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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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