Singularities on timelike minimal surfaces in Lorentzian Heisenberg group
Differential Geometry
2026-02-18 v1
Abstract
Timelike minimal surfaces in the three-dimensional Lorentzian Heisenberg group are shown to be constructed from Lorentzian harmonic maps into the de-Sitter two-sphere, and they naturally admit singular points. In particular, we provide criteria for cuspidal edges, swallowtails, and cuspidal cross caps, and present several explicit examples.
Keywords
Cite
@article{arxiv.2602.15414,
title = {Singularities on timelike minimal surfaces in Lorentzian Heisenberg group},
author = {Shintaro Akamine and Hirotaka Kiyohara},
journal= {arXiv preprint arXiv:2602.15414},
year = {2026}
}
Comments
25 pages, 2 figures