Abstract:The SRA-free condition for metric spaces (that is, spaces without Small Rough Angles) was introduced by Zolotov to study rectifiability for self-contracted curves in various metric spaces. A Möbius invariant version of this notion is introduced, which allows one to show that the zz-distance associated with the respective Möbius structure on the circle is nondegenerate. This result is an important part of a solution to the inverse problem of Möbius geometry on the circle.

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中文翻译：

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Zolotov对圆上Möbius结构的自收缩曲线和zz距离的简并性的无SRA条件

摘要：Zolotov引入了公制空间（即没有小粗角的空间）的无SRA条件，以研究各种公制空间中自收缩曲线的可校正性。引入了该概念的莫比乌斯不变式，它使人可以证明与圆上相应莫比乌斯结构有关的zz距离是不退化的。该结果是解决圆上Möbius几何反问题的重要部分。

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