Duality of zero mean curvature surfaces in the Lorentzian Heisenberg group
Differential Geometry
2026-03-31 v1
Abstract
We study a transformation surface associated with a zero mean curvature surface in the three-dimensional Heisenberg group with respect to two left-invariant semi-Riemannian metrics. We investigate the duality and prove that the transformation surface also has zero mean curvature. Furthermore, we derive the Sym formula for the dual surface in both metric cases.
Keywords
Cite
@article{arxiv.2603.28022,
title = {Duality of zero mean curvature surfaces in the Lorentzian Heisenberg group},
author = {Sai Rasmi Ranjan Mohanty and Priyank Vasu},
journal= {arXiv preprint arXiv:2603.28022},
year = {2026}
}