Some Surfaces with Zero Curvature in ℍ2×ℝ

Dae Won Yoon

doi:10.1155/2014/154294

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2014 Some Surfaces with Zero Curvature in

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

Dae Won Yoon

J. Appl. Math. 2014: 1-5 (2014). DOI: 10.1155/2014/154294

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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.

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Dae Won Yoon. "Some Surfaces with Zero Curvature in ${\Bbb H}^{2}{\times}\Bbb R$ ." J. Appl. Math. 2014 1 - 5, 2014. https://doi.org/10.1155/2014/154294