Some Surfaces with Zero Curvature in ℍ2 × ℝ

Dae Won Yoon

Journal of Applied Mathematics, 2014, vol. 2014, issue 1

Abstract: We study surfaces defined as graph of the function z = f(x, y) in the product space ℍ2 × 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.

Date: 2014
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https://doi.org/10.1155/2014/154294

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2014:y:2014:i:1:n:154294

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