In this paper some subdifferentials of distance function from a closed subset in points outside of the target set are introduced in the context of Riemannian manifolds. The subdifferential regularities of distance function \(d_{S}\) and normal regularities of enlargements of a set S are also studied in this setting.

中文翻译：

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黎曼流形中目标集之外的距离函数的次微分

本文在黎曼流形的背景下，介绍了距离函数在目标集之外的点上的一个封闭子集的距离函数的一些微分。在这种情况下，还研究了距离函数\（d_ {S} \）的亚微正则性和集合S的放大的正则性。