On the Heisenberg sub-Lorentzian metric on ℝ³

Marek Grochowski. "On the Heisenberg sub-Lorentzian metric on ℝ³." Banach Center Publications 65.1 (2004): 57-65. <http://eudml.org/doc/282333>.

@article{MarekGrochowski2004,
abstract = {In this paper we study properties of the Heisenberg sub-Lorentzian metric on ℝ³. 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.},
author = {Marek Grochowski},
journal = {Banach Center Publications},
keywords = {sub-Lorentzian manifold; geodesic},
language = {eng},
number = {1},
pages = {57-65},
title = {On the Heisenberg sub-Lorentzian metric on ℝ³},
url = {http://eudml.org/doc/282333},
volume = {65},
year = {2004},
}

TY - JOUR
AU - Marek Grochowski
TI - On the Heisenberg sub-Lorentzian metric on ℝ³
JO - Banach Center Publications
PY - 2004
VL - 65
IS - 1
SP - 57
EP - 65
AB - In this paper we study properties of the Heisenberg sub-Lorentzian metric on ℝ³. 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.
LA - eng
KW - sub-Lorentzian manifold; geodesic
UR - http://eudml.org/doc/282333
ER -