The Lorentzian Problem on the Group $SU(2)$

A. Z. Ali; Yu. L. Sachkov

The Lorentzian Problem on the Group $SU(2)$

Differential Geometry 2026-07-13 v1 Optimization and Control

Authors: A. Z. Ali , Yu. L. Sachkov

Abstract

We consider a left-invariant Lorentzian problem on SU(2). The following questions are addressed: complete controllability, existence of length maximizers, extremals, curvature.

Cite

@article{arxiv.2607.11592,
  title  = {The Lorentzian Problem on the Group $SU(2)$},
  author = {A. Z. Ali and Yu. L. Sachkov},
  journal= {arXiv preprint arXiv:2607.11592},
  year   = {2026}
}