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SOME TRANSLATION SURFACES IN THE 3-DIMENSIONAL HEISENBERG GROUP

Yoon, Dae Won;Lee, Chul Woo;Karacan, Murat Kemal

  • Received : 2012.10.04
  • Published : 2013.07.31

Abstract

In this paper, we define translation surfaces in the 3-dimensional 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

References

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Acknowledgement

Supported by : National Research Foundation of Korea(NRF)