EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 94(108), pp. 43–45 (2013)

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A NOTE ON RAKIC DUALITY PRINCIPLE FOR OSSERMAN MANIFOLDS

Yuri Nikolayevsky, Zoran Rakic

Department of Mathematics and Statistics, La Trobe University, Melbourne, Victoria, Australia Faculty of Mathematics, University of Belgrade, Belgrade, Serbia

Abstract: We prove that for a Riemannian manifold, the pointwise Osserman condition is equivalent to the Rakic duality principle.

Keywords: Jacobi operator, Osserman manifold, duality principle

Classification (MSC2000): 53B20, 53C25

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Electronic fulltext finalized on: 8 Nov 2013. This page was last modified: 22 Nov 2013.

© 2013 Mathematical Institute of the Serbian Academy of Science and Arts
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