Geometrija, obrazovanje i vizualizacija sa primenama, 16. i 23. mart 2017.

Naredni sastanci Seminara biće održani 16. i 23. marta 2017. u sali 301f Matematičkog instituta SANU sa početkom u 17:15 časova.

Predavač: Batat Wafaa

Naslov predavanja: ON THE CLASSIFICATION OF HOMOGENEOUS LORENTZIAN STRUCTURES

Detaljnije: The complete classification of the simply connected three-dimensional naturally reductive Riemannian manifolds was given by Tricerri and Vanhecke (1983). In this talk, we shall generalize this result to the Lorentzian case. We obtain, as in the Riemannian case, the symmetric spaces and further the unimodular Lie groups SU(2), SL(2,R) and the Heisenberg group equipped with some left-invariant Lorentzian metric. On the other hand, we shall classify all homogeneous Lorentzian structures on some Lorentzian manifolds such as Egorov spaces, three-dimensional manifolds admitting a parallel null vector field and the Heisenberg group.



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