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The sharp Lipschitz bound for Möbius transformations of the Hilbert metric in the unit ball
The conjectured Lipschitz bound. For all $x,y,a\in\mathbb{B}^n$ ,
Conjecturesolvedhilbert-metric metric-geometry unit-ball-geometryarXiv posted 2 days ago
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Isometry conjecture for geodesic-preserving bijections of closed convex projective surfaces
Let $S$ be a closed real convex projective surface, and let $f\colon S\to S$ be a bijection mapping complete geodesics to complete geodesics as sets. Isometry conjecture. The map…
Conjectureopenconvex-projective-geometry hilbert-metric rigidityarXiv posted 2 days ago

The sharp Lipschitz bound for Möbius transformations of the Hilbert metric in the unit ball