DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, vol.11, no.2, pp.145-153, 1999 (SCI-Expanded)
Article / Article
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Osserman space, affine connection, Riemann extensions, MANIFOLDS
Middle East Technical University Affiliated:
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.