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

Stefano Montaldo; Irene I. Onnis

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

Stefano Montaldo; Irene I. Onnis

Bollettino dell'Unione Matematica Italiana (2007)

Volume: 10-B, Issue: 3, page 939-950
ISSN: 0392-4041

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Abstract

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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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Montaldo, Stefano, and Onnis, Irene I.. "A Note on Surfaces in $\mathbb{H}^2 \times \mathbb{R}$." Bollettino dell'Unione Matematica Italiana 10-B.3 (2007): 939-950. <http://eudml.org/doc/290411>.

@article{Montaldo2007,
abstract = {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.},
author = {Montaldo, Stefano, Onnis, Irene I.},
journal = {Bollettino dell'Unione Matematica Italiana},
language = {eng},
month = {10},
number = {3},
pages = {939-950},
publisher = {Unione Matematica Italiana},
title = {A Note on Surfaces in $\mathbb\{H\}^2 \times \mathbb\{R\}$},
url = {http://eudml.org/doc/290411},
volume = {10-B},
year = {2007},
}

TY - JOUR
AU - Montaldo, Stefano
AU - Onnis, Irene I.
TI - A Note on Surfaces in $\mathbb{H}^2 \times \mathbb{R}$
JO - Bollettino dell'Unione Matematica Italiana
DA - 2007/10//
PB - Unione Matematica Italiana
VL - 10-B
IS - 3
SP - 939
EP - 950
AB - 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.
LA - eng
UR - http://eudml.org/doc/290411
ER -

References

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