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

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Submission date: 07. Nov. 2006
Pages: 10
published 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 / D. I. Ponte (ed.)
Madrid : Real Sociedad Matematica Espanola, 2008. - P. 57 - 66
(Publicaciones de la Real Sociedad Matematica Espanola ; 11) 
Bibtex
MSC-Numbers: 53C20
Keywords and phrases: conformal Osserman manifolds, geodesiccompleteness, Ricci blowup, jacobi operator, Weyl conformal curvature tensor, geodesic completeness
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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.