On the Heisenberg sub-Lorentzian metric on $\Bbb R^{3}$
Volume 65 / 2004
Banach Center Publications 65 (2004), 57-65
MSC: 53C50.
DOI: 10.4064/bc65-0-4
Abstract
In this paper we study properties of the Heisenberg sub-Lorentzian metric on $\mathbb{R}^{3}$. We compute the conjugate locus of the origin, and prove that the sub-Lorentzian distance in this case is differentiable on some open set. We also prove the existence of regular non-Hamiltonian geodesics, a phenomenon which does not occur in the sub-Riemannian case.
