Please use this identifier to cite or link to this item: https://research.matf.bg.ac.rs/handle/123456789/371
Title: On some aspects of duality principle
Authors: Andrejić, Vladica 
Rakić, Zoran 
Affiliations: Geometry 
Geometry 
Issue Date: 1-Sep-2015
Journal: Kyoto Journal of Mathematics
Abstract: 
This paper is devoted to the study of the relation between Osserman algebraic curvature tensors and algebraic curvature tensors which satisfy the duality principle. We give a short overview of the duality principle in Osserman manifolds and extend this notion to null vectors. Here, it is proved that a Lorentzian totally Jacobi-dual curvature tensor is a real space form. Also, we find out that a Clifford curvature tensor is Jacobi-dual. We provide a few examples of Osserman manifolds which are totally Jacobi-dual and an example of an Osserman manifold which is not totally Jacobi-dual.
URI: https://research.matf.bg.ac.rs/handle/123456789/371
ISSN: 21562261
DOI: 10.1215/21562261-3089064
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