Геометрија, образовање и визуализација са применама, 16. и 23. март 2017.

• 14. Март, 2017
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Наредни састанци Семинара биће одржани 16. и 23. марта 2017. у сали 301ф Математичког института САНУ са почетком у 17:15 часова.

Предавач: Batat Wafaa

Наслов предавања: ON THE CLASSIFICATION OF HOMOGENEOUS LORENTZIAN STRUCTURES

Детаљније: 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.