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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 |
Appears in Collections: | Research outputs |
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