English

Traslation surfaces in the Heisenberg Group

Differential Geometry 2025-12-09 v2

Abstract

A translation surface in the Heisenberg group is constructed as the product of two planar curves. We classify a type of such surfaces with vanishing intrinsic curvature by analyzing the determinant of their Gauss map

Keywords

Cite

@article{arxiv.2510.23916,
  title  = {Traslation surfaces in the Heisenberg Group},
  author = {Christiam Figueroa},
  journal= {arXiv preprint arXiv:2510.23916},
  year   = {2025}
}