Affine Osserman connections and their Riemann extensions
type: Item
instance of: scholarly article
title: Affine Osserman connections and their Riemann extensions
zbMATH Open document ID: 0940.53017
DOI: 10.1016/S0926-2245(99)00029-7
author: Eduardo García-Río
author: Demir N. Kupeli
author: M. E. Vázquez-Abal
author: R. Vázquez-Lorenzo
published in: Differential Geometry and its Applications
publication date: 2000-02-08T00:00:00Z
review text: The notion of an affine Osserman space is introduced, and certain properties of such spaces are studied. By interesting examples, such as that of the cotangent bundle equipped with the pseudo-Riemannian metric defined by the Riemann extension of a linear connection on the base, one establishes some relations between affine and pseudo-Riemannian Osserman spaces. Finally, the authors prove the surprising result that, for arbitrary signature, a pseudo-Riemannian manifold is simultaneously timelike and spacelike Osserman.
Mathematics Subject Classification ID: 53B30
Mathematics Subject Classification ID: 53B05
zbMATH DE Number: 1367711
zbMATH Keywords: Osserman space
zbMATH Keywords: Riemann extension
Wikidata QID: Q115337410
reviewed by: Vasile Cruceanu
MaRDI profile type: Publication
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full work available at URL: s0926-2245(99)00029-7
OpenAlex ID: W2041471686
description: scientific article; zbMATH DE number 1367711