10 citations · 37 across the 18 of their papers we have counts for
21 papers
Symmetries of cross-ratios and the equation for Möbius structures
Sergei Buyalo
We consider orthogonal representations of the symmetry groups , , with motivated by symmetries of cross-ratios. For $n…
Inverse problem for Moebius geometry on the circle
Sergei Buyalo
We give a solution to the inverse problem of Moebius geometry on the circle. Namely, we describe a class of Moebius structures on the circle for each of which there is a hyperbolic…
SRA-free condition by Zolotov for self-contracted curves and nondegeneracy of zz-distance for Möbius structures on the circle
Sergei Buyalo
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 spac…
On the inverse problem of Moebius geometry on the circle
Sergei Buyalo
Any (boundary continuous) hyperbolic space induces on the boundary at infinity a Moebius structure which reflects most essential asymptotic properties of the space. In this paper,…
Spectral geometries on a compact metric space
Sergei Buyalo
The notion of a spectral geometry on a compact metric space X is introduced. This notion serves as a discrete approximation of X motivated by the notion of a spectral triple from n…
Möbius structures and timed causal spaces on the circle
Sergei Buyalo
We discuss a conjectural duality between hyperbolic spaces on one hand and spacetimes on the other hand, living on the opposite sides of the common absolute. This duality goes via…