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A Note on Surfaces in $\mathbb{H}^{2}\times\mathbb{R}$

Stefano Montaldo; Irene I. Onnis — 2007

Bollettino dell'Unione Matematica Italiana

In this article we consider surfaces in the product space $\mathbb{H}^{2}\times\mathbb{R}$ of the hyperbolic plane $\mathbb{H}^{2}$ with the real line. The main results are: a description of some geometric properties of minimal graphs; new examples of complete minimal graphs; the local classification of totally umbilical surfaces.

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A Note on Surfaces in ℍ 2 × ℝ

A Note on Surfaces in $\mathbb{H}^{2}\times\mathbb{R}$