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MiS Preprint
123/2006Completeness, 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-LorenzoAbstract
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:
- 07.11.06
- Published:
- 07.11.06
- 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
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)