## Journal of Applied Mathematics

### Some Surfaces with Zero Curvature in ${\Bbb H}^{2}{\times}\Bbb R$

Dae Won Yoon

#### Abstract

We study surfaces defined as graph of the function $z=f(x,y)$ in the product space ${\Bbb H}^{2}{\times}\Bbb R$. In particular, we completely classify flat or minimal surfaces given by $f(x,y)=u(x)+v(y)$, where $u(x)$ and $v(y)$ are smooth functions.

#### Article information

Source
J. Appl. Math., Volume 2014 (2014), Article ID 154294, 5 pages.

Dates
First available in Project Euclid: 2 March 2015

https://projecteuclid.org/euclid.jam/1425305630

Digital Object Identifier
doi:10.1155/2014/154294

Mathematical Reviews number (MathSciNet)
MR3191105

#### Citation

Yoon, Dae Won. Some Surfaces with Zero Curvature in ${\Bbb H}^{2}{\times}\Bbb R$. J. Appl. Math. 2014 (2014), Article ID 154294, 5 pages. doi:10.1155/2014/154294. https://projecteuclid.org/euclid.jam/1425305630

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