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Mediterranean Journal of Mathematics

, Volume 7, Issue 1, pp 89–100 | Cite as

Semi-symmetric Lorentzian Three-manifolds Admitting a Parallel Degenerate Line Field

  • Giovanni Calvaruso
  • Barbara De Leo
Article

Abstract

We characterize semi-symmetric Lorentzian three-manifolds (M,g f ) admitting a parallel degenerate line field, through a condition on the defining function f. The admissible Segre types of the Ricci operator of (M,g f ) are also completely described, and semi-symmetric curvature homogeneous examples are presented in the possible different cases.

Mathematics Subject Classification (2010)

53C50 53C20 53C30 

Keywords

Lorentzian manifolds semi-symmetric spaces Segre types 

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Copyright information

© Birkhäuser / Springer Basel AG 2010

Authors and Affiliations

  1. 1.Dipartimento di Matematica “E. De Giorgi”Università del SalentoLecceItaly

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