Quasi-isometries in horospherical products of hyperbolic spaces are geometrically rigid, close to product maps, extending Eskin-Fisher-Whyte to solvable Lie groups R ⋉ (N1 × N2) with contracting/extending actions.
Carrasco Piaggio , Orlicz spaces and the large scale geometry of Heintze groups
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Geometric rigidity of quasi-isometries in horospherical products
Quasi-isometries in horospherical products of hyperbolic spaces are geometrically rigid, close to product maps, extending Eskin-Fisher-Whyte to solvable Lie groups R ⋉ (N1 × N2) with contracting/extending actions.