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

Montaldo, Stefano; Onnis, Irene I.

A Note on Surfaces in

\mathbb{H}^{2}\times\mathbb{R}

Montaldo, Stefano ; Onnis, Irene I.

Bollettino dell'Unione Matematica Italiana, Tome 10-A (2007), p. 939-950 / Harvested from Biblioteca Digitale Italiana di Matematica

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Abstract
Résumé

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.

-In questo lavoro si considerano le superfici nel prodotto $\mathbb{H}^{2}\times\mathbb{R}$ del piano iperbolico con la retta reale. I risultati principali sono: la descrizione geometrica di alcune proprietà dei grafici minimi; la determinazione di nuovi esempi di grafici minimi completi; la classificazione locale delle superfici totalmente ombelicali.

Publié le : 2007-10-01

MR 2507907 | Zbl 1183.53055

@article{BUMI_2007_8_10B_3_939_0,
     author = {Stefano Montaldo and Irene I. Onnis},
     title = {A Note on Surfaces in $\mathbb{H}^2 \times \mathbb{R}$},
     journal = {Bollettino dell'Unione Matematica Italiana},
     volume = {10-A},
     year = {2007},
     pages = {939-950},
     zbl = {1183.53055},
     mrnumber = {2507907},
     language = {en},
     url = {http://dml.mathdoc.fr/item/BUMI_2007_8_10B_3_939_0}
}

Montaldo, Stefano; Onnis, Irene I. A Note on Surfaces in $\mathbb{H}^2 \times \mathbb{R}$. Bollettino dell'Unione Matematica Italiana, Tome 10-A (2007) pp. 939-950. http://gdmltest.u-ga.fr/item/BUMI_2007_8_10B_3_939_0/

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