Geodesic
Conformally Osserman Lorentzian manifolds
Kragujevac Journal of Mathematics, Tome 28 (2005), p. 87 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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CONFORMALLY OSSERMAN LORENTZIAN MANIFOLDSNovica Blazic Faculty of Mathematics, University of Belgrade,P. O. Box 550, 11001 Belgrade, Serbia and Montenegro Abstract. Let (Mn,g) be a pseudo-Riemannian manifold of which the Jacobi operator associated to the Weyl conformal curvature tensor has constant eigenvalues on the bundle of unit timelike (spacelike) tangent vectors (known as conformally Osserman manifolds). In this work we study the conformally Osserman Lorentzian manifolds. The established characterizations indicate the rigidity of conformally Osserman Lorentzian manifolds. We additionally illustrate that rigidity by reviewing analog recent characterizations in the case of metrics of other signatures.
Classification : 53C50
Keywords: Lorentzian geometry, Weyl conformal tensor, conformally Osserman manifold, Clliford curvature tensor, Osserman manifold, conformal Jacobi operator, Jacobi operator 
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     author = {Novica Bla\v{z}i\'c},
     title = {Conformally {Osserman} {Lorentzian} manifolds},
     journal = {Kragujevac Journal of Mathematics},
     pages = {87 },
     year = {2005},
     volume = {28},
     zbl = {1143.53336},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2005_28_a6/}
}
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Novica Blažić. Conformally Osserman Lorentzian manifolds. Kragujevac Journal of Mathematics, Tome 28 (2005), p. 87 . http://geodesic.mathdoc.fr/item/KJM_2005_28_a6/