Cylindrically bounded constant mean curvature surfaces in $\mathbb H^2\times\mathbb R$

Laurent Mazet (1)

1 LAMA - Laboratoire d'Analyse et de Mathématiques Appliquées

In this paper we prove that a properly embedded constant mean curvature surface in H^2*R which has finite topology and stays at a finite distance from a vertical geodesic line is invariant by rotation around a vertical geodesic line.

Domains: Differential Geometry [math.DG]

Laurent Mazet. Cylindrically bounded constant mean curvature surfaces in $\mathbb H^2\times\mathbb R$. Transactions of the American Mathematical Society, 2015, 367, ⟨10.1090/tran/6171⟩. ⟨hal-00720364⟩