English

Minimal translation surfaces in the Heisenberg group Nil3

Differential Geometry 2013-10-11 v1

Abstract

A translation surface in the Heisenberg group Nil3\mathrm{Nil}_3 is a surface constructed by multiplying (using the group operation) two curves. We completely classify minimal translation surfaces in the Heisenberg group Nil3\mathrm{Nil}_3.

Keywords

Cite

@article{arxiv.1109.1628,
  title  = {Minimal translation surfaces in the Heisenberg group Nil3},
  author = {J. -I. Inoguchi and R. López and M. I. Munteanu},
  journal= {arXiv preprint arXiv:1109.1628},
  year   = {2013}
}

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10 pages