Geodesic
SRA-free condition by Zolotov for self-contracted curves and nondegeneracy of the zz-distance for Möbius structures on the circle
Algebra i analiz, Tome 31 (2019) no. 5, pp. 90-105.

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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.
Keywords: Möbius structures, cross-ratio, harmonic 4-tuples, self-contracted curves. 
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S. V. Buyalo. SRA-free condition by Zolotov for self-contracted curves and nondegeneracy of the zz-distance for Möbius structures on the circle. Algebra i analiz, Tome 31 (2019) no. 5, pp. 90-105. http://geodesic.mathdoc.fr/item/AA_2019_31_5_a2/

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