Three-Dimensional Naturally Reductive Homogeneous Lorentzian Manifolds

2008 ◽  
Vol 5 (1) ◽  
pp. 113-131 ◽  
Author(s):  
Nadjia Haouari ◽  
Wafaa Batat ◽  
Noureddine Rahmani ◽  
Salima Rahmani
Keyword(s):  
Three Dimensional ◽  
Lorentzian Manifolds ◽  
Naturally Reductive

LORENTZIAN 3-MANIFOLDS WITH COMMUTING CURVATURE OPERATORS

2008 ◽  
Vol 05 (04) ◽  
pp. 557-572 ◽  
Author(s):  
EDUARDO GARCÍA-RÍO ◽  
ALI HAJI-BADALI ◽  
M. ELENA VÁZQUEZ-ABAL ◽  
RAMÓN VÁZQUEZ-LORENZO
Keyword(s):  
Three Dimensional ◽  
Lorentzian Manifolds

Three-dimensional Lorentzian manifolds with commuting curvature operators are studied. A complete description is given at the algebraic level. Consequences are obtained at the differentiable setting for manifolds which additionally are assumed to be locally symmetric or homogeneous.

On the Ricci operator of locally homogeneous Lorentzian 3-manifolds

2009 ◽  
Vol 7 (1) ◽  
Author(s):  
Giovanni Calvaruso ◽  
Oldrich Kowalski
Keyword(s):  
Three Dimensional ◽  
Lorentzian Manifolds ◽  
Ricci Operator ◽  
Locally Homogeneous

AbstractWe determine the admissible forms for the Ricci operator of three-dimensional locally homogeneous Lorentzian manifolds.

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