Reachable sets for a class of contact sub-lorentzian metrics on ℝ³, and null non-smooth geodesics

Marek Grochowski. "Reachable sets for a class of contact sub-lorentzian metrics on ℝ³, and null non-smooth geodesics." Banach Center Publications 82.1 (2008): 101-110. <http://eudml.org/doc/282348>.

@article{MarekGrochowski2008,
abstract = {We compute future timelike and nonspacelike reachable sets from the origin for a class of contact sub-Lorentzian metrics on ℝ³. Then we construct non-smooth (and therefore non-Hamiltonian) null geodesics for these metrics. As a consequence we deduce that the sub-Lorentzian distance from the origin is continuous at points belonging to the boundary of the reachable set.},
author = {Marek Grochowski},
journal = {Banach Center Publications},
keywords = {sub-Lorentzian manifolds; contact distributions},
language = {eng},
number = {1},
pages = {101-110},
title = {Reachable sets for a class of contact sub-lorentzian metrics on ℝ³, and null non-smooth geodesics},
url = {http://eudml.org/doc/282348},
volume = {82},
year = {2008},
}

TY - JOUR
AU - Marek Grochowski
TI - Reachable sets for a class of contact sub-lorentzian metrics on ℝ³, and null non-smooth geodesics
JO - Banach Center Publications
PY - 2008
VL - 82
IS - 1
SP - 101
EP - 110
AB - We compute future timelike and nonspacelike reachable sets from the origin for a class of contact sub-Lorentzian metrics on ℝ³. Then we construct non-smooth (and therefore non-Hamiltonian) null geodesics for these metrics. As a consequence we deduce that the sub-Lorentzian distance from the origin is continuous at points belonging to the boundary of the reachable set.
LA - eng
KW - sub-Lorentzian manifolds; contact distributions
UR - http://eudml.org/doc/282348
ER -