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
(Please use for correspondence this email).

Submission date: 07. Nov. 2006
Pages: 10
MSC-Numbers: 53C20
Keywords and phrases: conformal Osserman manifolds, geodesiccompleteness, Ricci blowup, jacobi operator, Weyl conformal curvature tensor, geodesic completeness
Download preprint: PDF (179 kB)

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.