SRA-free condition by Zolotov for self-contracted curves and nondegeneracy of the zz-distance for Möbius structures on the circle
SRA-free condition by Zolotov for self-contracted curves and nondegeneracy of the zz-distance for Möbius structures on the circle
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Zolotov 的无 SRA 条件，用于圆上莫比乌斯结构的自收缩曲线和 zz 距离的非简并性
DOI：
10.1090/spmj/1624
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
S. Buyalo
中科院分区：
文献类型：
--
作者：
S. Buyalo
Zolotov引入度量空间（即没有小粗糙角的空间）的无sra条件，研究了各种度量空间中自缩曲线的可纠偏性。我们给出了这个概念的一个莫比乌斯不变版本，它允许证明与圆上各自的莫比乌斯结构相关的z-距离是非简并的。这一结果是圆上莫比乌斯几何逆问题解的重要组成部分。
SRA-free condition for metric spaces (that is, spaces without Small Rough Angles) was introduced by Zolotov to study rectifiability of self-contracted curves in various metric spaces. We give a Moebius invariant version of this notion which allows to show that zz-distance associated with a respective Moebius structure on the circle is nondegenerate. This result is an important part of a solution to the inverse problem of Moebius geometry on the circle.