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

Published version
Peer-reviewed

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Authors

Dunajski, Maciej 
Gover, A. Rod 
Waterhouse, Alice 

Abstract

Abstract: We 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-c-projective compactification of neutral signature Einstein metrics canonically defined on certain rank-n affine bundles M over n-dimensional manifolds endowed with projective structures.

Description

Funder: University of Cambridge

Keywords

Article

Journal Title

Annales Henri Poincaré

Conference Name

Journal ISSN

1424-0637
1424-0661

Volume Title

21

Publisher

Springer International Publishing