Affiliation:
1. University of Belgrade, Faculty of Mathematics, Belgrade, Serbia
Abstract
It is well known that the Jacobi operators completely determine the curvature
tensor. The question of existence of a curvature tensor for given Jacobi
operators naturally arises, which is considered and solved in the previous
work. Unfortunately, although the published theorem is correct, its proof is
incomplete because it contains some omissions, and the aim of this paper is
to present a complete and accurate proof. We also generalize the main
theorem to the case of indefinite scalar product space. Accordingly, we
generalize the proportionality principle for Osserman algebraic curvature
tensors.
Publisher
National Library of Serbia
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