Publications de l’Institut Mathématique, Nouvelle Série Vol. 103[117] 
On Lorentzian Spaces of Constant Sectional CurvatureVladica AndrejićFaculty of Mathematics, University of Belgrade, Belgrade, SerbiaAbstract: We investigate Ossermanlike conditions for Lorentzian curvature tensors that imply constant sectional curvature. It is known that Osserman (moreover zweistein) Lorentzian manifolds have constant sectional curvature. We prove that some generalizations of the Rakić duality principle (Lorentzian totally Jacobidual or fourdimensional Lorentzian Jacobidual) imply constant sectional curvature. Moreover, any fourdimensional Jacobidual algebraic curvature tensor such that the Jacobi operator for some nonnull vector is diagonalizable, is Osserman. Additionally, any Lorentzian algebraic curvature tensor such that the reduced Jacobi operator for all nonnull vectors has a single eigenvalue has a constant sectional curvature. Keywords: Lorentzian space, Osserman manifold, duality principle Classification (MSC2000): 53B30; 53C50 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 26 Apr 2018. This page was last modified: 11 Mai 2018.
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