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The duality principle for Osserman algebraic curvature tensors.

Authors :
Nikolayevsky, Y.
Rakić, Z.
Source :
Linear Algebra & its Applications. Sep2016, Vol. 504, p574-580. 7p.
Publication Year :
2016

Abstract

We prove that for an algebraic curvature tensor on a pseudo-Euclidean space, the Jordan–Osserman condition implies the Rakić duality principle, and that the Osserman condition and the duality principle are equivalent in the semisimple case. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00243795
Volume :
504
Database :
Academic Search Index
Journal :
Linear Algebra & its Applications
Publication Type :
Academic Journal
Accession number :
115438355
Full Text :
https://doi.org/10.1016/j.laa.2016.04.003