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

M. Brozos-Vazquez, P. Gilkey, E. Garcia-Rio, R. Vazquez-Lorenzo

math.DGarXiv:math/0611279

Abstract

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

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