Cylindrically bounded constant mean curvature surfaces in $\mathbb H^2\times\mathbb R$ - Archive ouverte HAL
Journal Articles Transactions of the American Mathematical Society Year : 2015

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

Abstract

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.
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Dates and versions

hal-00720364 , version 1 (16-12-2022)

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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⟩
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