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

• Autorzy: Marek Grochowski
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 53C50: Lorentz manifolds, manifolds with indefinite metrics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2008
• Tom: 82
• Numer: 1
• Strony: 101-110

Daty

wydano

2008

Twórcy

autor

Marek Grochowski

• Faculty of Mathematics and Natural Sciences, Cardinal Stefan Wyszyński University, Dewajtis 5, 01-815 Warszawa, Poland

Identyfikatory

DOI

10.4064/bc82-0-7