On the Heisenberg sub-Lorentzian metric on ℝ³

• Autorzy: Marek Grochowski
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 53C50: Lorentz manifolds, manifolds with indefinite metrics

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2004
• Tom: 65
• Numer: 1
• Strony: 57-65

Daty

wydano

2004

Twórcy

autor

Marek Grochowski

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

Identyfikatory

DOI

10.4064/bc65-0-4