References
N. Blažić, N. Bokan andP. Gilkey, A Note on Osserman Lorentzian manifolds.Bull. London Math. Soc. 29 (1997), 227–230.
N. BlažIć,N. Bokan andZ. Rakić,Characterization of 4-dimensional Osserman pseudo-Riemannian manifolds. preprints 1995, 1997.
Q. S. Chi, A curvature characterization of certain locally rank one symmetric spaces.J. Diff. Geo. 28 (1988), 187–202.
E. Garcia-Rio, D. N. Kupeli andM. E. Vázquez-Abal, On a problem of Osserman in Lorentzian geometry.Differential Geometry and its Applications 7 (1997), 85–100.
P. Gilkey, Manifolds whose curvature operator has constant eigenvalues at the base-point.J. Geometrical Analysis 4 (1994), 155–158.
P. Gilkey, A. Swann andL.van Hecke, Isoparametric geodesic spheres and a conjecture of Osserman regarding the Jacobi Operator.Quart J. Math. 46 (1995), 299–320.
R. Osserman, Curvature in the eighties.Amer. Math. Monthly 97 (1990), 731–756.
I. Petrova andG. Stanilov,A generalized Jacobi operator on the 4dimensional Riemannian geometry. Annuare de l’Université de Sofia “St. Kliment Ohridski”85 (1991).
G. Stanliov andV. Videv, Four dimensional pointwise Osserman manifolds.Abh. Math. Sem. Univ. Hamburg 68 (1998), 1–6.
Author information
Authors and Affiliations
Corresponding author
Additional information
Research partially supported by the NSF (USA)
Rights and permissions
About this article
Cite this article
Gilkey, P.B. Generalized osserman manifolds. Abh.Math.Semin.Univ.Hambg. 68, 125–127 (1998). https://doi.org/10.1007/BF02942557
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02942557