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Bull. Korean Math. Soc. 2013; 50(4): 1329-1343
Printed July 1, 2013
https://doi.org/10.4134/BKMS.2013.50.4.1329
Copyright © The Korean Mathematical Society.
Some translation surfaces in the 3-dimensional Heisenberg group
Dae Won Yoon, Chul Woo Lee, and Murat Kemal Karacan
Gyeongsang National University, Gyeongsang National University, Usak University
In this paper, we define translation surfaces in the 3-dimen\-sional Heisenberg group $\mathcal H_3$ obtained as a product of two planar curves lying in planes, which are not orthogonal, and study minimal translation surfaces in $\mathcal H_3$.
Keywords: translation surface, Heisenberg group, minimal surface
MSC numbers: 53B25
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