Affine Osserman connections and their Riemann extensions

Date

1999-09-01

Author

Garcia-Rio, E
Kupeli, DN
Vazquez-Abal, ME
Vazquez-Lorenzo, R

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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Osserman property is studied for affine torsion-free connections with special attention to the 2-dimensional case. As an application, examples of nonsymmetric and even not locally homogeneous Osserman pseudo-Riemannian metrics are constructed on the cotangent bundle of a manifold equipped with a torsionfree connection by looking at their Riemann extensions. Also, timelike and spacelike Osserman conditions are analyzed for general pseudo-Riemannian manifolds showing that they are equivalent.

Subject Keywords

Computational Theory and Mathematics, Geometry and Topology, Analysis

URI

https://hdl.handle.net/11511/67881

Journal

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS

DOI

https://doi.org/10.1016/s0926-2245(99)00029-7

Collections

Department of Mathematics and Science Education, Article

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Citation Formats

E. Garcia-Rio, D. Kupeli, M. Vazquez-Abal, and R. Vazquez-Lorenzo, “Affine Osserman connections and their Riemann extensions,” DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, pp. 145–153, 1999, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/67881.