On a problem of Osserman in Lorentzian geometry

Date

1997-03-01

Author

GarciaRio, E
Kupeli, DN
VazquezAbal, ME

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A problem of Osserman on the constancy of the eigenvalues of the Jacobi operator is studied in Lorentzian geometry. Attention is paid to the different cases of timelike, spacelike and null Osserman condition. One also shows a relation between the null Osserman condition and a previous one on infinitesimal null isotropy.

Subject Keywords

Computational Theory and Mathematics, Geometry and Topology, Analysis, Osserman conjecture, Lorentz manifold, Jacobi operator, Infinitesimal isotropy, Warped product

URI

https://hdl.handle.net/11511/66749

Journal

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS

DOI

https://doi.org/10.1016/s0926-2245(96)00037-x

Collections

Department of Mathematics, Article

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Citation Formats

E. GarciaRio, D. Kupeli, and M. VazquezAbal, “On a problem of Osserman in Lorentzian geometry,” DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, pp. 85–100, 1997, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/66749.