3 problems

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Distance-set rigidity conjecture for finite GH-spaces generated by labeled trees
Let $i=1,2$ and let $T_i=T_i(l_i)$ be finite labeled trees with non-degenerate labelings $l_i:V(T_i)\to\mathbb{R}^+$ . Suppose that $(V(T_1),d_{l_1})$ and $(V(T_2),d_{l_2})$ are…
Conjectureopengraph-theory isometry ultrametric-spacesarXiv posted 2 days ago
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The isometry characterization by centers of distances
The isometry characterization. The equality
Conjectureopenisometry metric-geometry ultrametric-spacesarXiv posted 2 days ago
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The isometry conjecture for paired invariant Einstein metrics on $M_{m,m,n}$
Isometry conjecture. The invariant Einstein metrics corresponding to $(x_1,x_2,x_3)=(\nu,\gamma,1)$ and $(x_1,x_2,x_3)=(\mu,1/\gamma,1)$ are isometric.
Conjectureopeneinstein-metrics homogeneous-spaces isometryarXiv posted 2 days ago

Distance-set rigidity conjecture for finite GH-spaces generated by labeled trees