Journal of Dynamical and Control Systems

, Volume 9, Issue 4, pp 531–547 | Cite as

Normal Forms of Germs of Contact Sub-Lorentzian Structures on R3. Differentiability of the Sub-Lorentzian Distance Function

  • Marek Grochowski
Article

Abstract

The aim of this paper is to construct certain normal forms for germs of contract sub-Lorentzian metrics in R3. Using them we show that there are regions in which longest curves are necessarily timelike, and where the local sub-Lorentzian distance function is smooth. By the way, we compute the null conjugate locus of a point.

Sub-Lorentzian manifolds geodesics contact distributions 

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Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • Marek Grochowski
    • 1
  1. 1.Faculty of MathematicsCardinal Stefan Wyszyński University in WarsawWarszawaPoland

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