EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 94(108), pp. 197–204 (2013)

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DUALITY PRINCIPLE AND SPECIAL OSSERMAN MANIFOLDS

Vladica Andrejic

Faculty of Mathematics, University of Belgrade, Belgrade, Serbia

Abstract: We investigate the connection between the duality principle and the Osserman condition in a pseudo-Riemannian setting. We prove that a connected pointwise two-leaves Osserman manifold of dimension $n\geq 5$ is globally Osserman and investigate the relation between the special Osserman condition and the two-leaves Osserman one.

Classification (MSC2000): 53C50; 53B30

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

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