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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
123/2006

Completeness, Ricci blowup, the Osserman and the conformal Osserman condition for Walker signature (2,2) manifolds.

Miguel Brozos-Vazquez, Eduardo Garcia-Rio, Peter B. Gilkey and Ramon Vazquez-Lorenzo

Abstract

Walker manifolds of signature (2,2) provide examples of Osserman and of conformal Osserman manifolds. We study questions of geodesic completeness and Ricci blowup in this context.

Received:
Nov 7, 2006
Published:
Nov 7, 2006
MSC Codes:
53C20
Keywords:
conformal Osserman manifolds, geodesiccompleteness, Ricci blowup, jacobi operator, Weyl conformal curvature tensor, geodesic completeness

Related publications

inBook
2008 Repository Open Access
Miguel Brozos-Vazquez, Eduardo Garcia-Rio, Peter B. Gilkey and Ramon Vazquez-Lorenzo

Completeness, Ricci blowup, the Osserman and the conformal Osserman condition for Walker signature (2,2) manifolds

In: Geometry and physics : proceedings of the International Workshop on Geometry and Physics held in Puerto de la Cruz, Tenerife Canary Islands, Spain, September 11 - 16, 2006 / David Iglesias Ponte (ed.)
Madrid : Real Sociedad Matematica Espanola, 2008. - pp. 57-66
(Publicaciones de la Real Sociedad Matematica Espanola ; 11)