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Characterization of a differentiable point of the distance function to the cut locus. (English) Zbl 1037.53022

In this paper the author investigates the distance function on complete Riemannian surfaces. In particular he studies the cut locus of closed submanifolds.

MSC:

53C22 Geodesics in global differential geometry
28A78 Hausdorff and packing measures

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