Some Examples of Projective and c-projective Compactifications of Einstein Metrics

Abstract

Funder: University of CambridgeWe construct several examples of compactifications of Einstein metrics. We show that the Eguchi--Hanson instanton admits a projective compactification which is non--metric, and that a metric cone over any (pseudo)--Riemannian manifolds admits a metric projective compactification. We construct a para--cc--projective compactification of neutral signature Einstein metrics canonically defined on certain rank--nn affine bundles MM over nn-dimensional manifolds endowed with projective structures

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