Some Examples of Projective and c -projective Compactifications of Einstein Metrics
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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.
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Funder: University of Cambridge
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Article
Journal Title
Annales Henri Poincaré
Conference Name
Journal ISSN
1424-0637
1424-0661
1424-0661
Volume Title
21
Publisher
Springer International Publishing