Reduces CMC hypersurfaces with double horocyclic symmetry in H²×H² to an autonomous ODE, solves explicitly in three regimes, proves existence/uniqueness, and classifies equilibria as H³, H²×R, Sol₃ and semidirect-product metrics.
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Constant mean curvature hypersurfaces in $\mathbb{H}^2\times\mathbb{H}^2$ with double horocyclic symmetry
Reduces CMC hypersurfaces with double horocyclic symmetry in H²×H² to an autonomous ODE, solves explicitly in three regimes, proves existence/uniqueness, and classifies equilibria as H³, H²×R, Sol₃ and semidirect-product metrics.