Volume no :7, Issue no: 2, February (2011)

Journal of Mathematical Sciences: Advances and Applications

EXAMPLES OF OSSERMAN METRICS OF (3, 3)-SIGNATURE

Author's: A. S. Diallo and M. Hassirou
Pages: [95] - [103]
Received Date: January 24, 2011
Submitted by:

Abstract

In this paper, the Osserman condition is studied for a family of affine torsion free connection. As applications, we provide examples of Osserman pseudo-Riemannian metrics of signature (3, 3) on the cotangent bundle of a manifold.

Keywords

affine connection, Jacobi operator, Osserman manifold, Riemann extension.