Some examples of projective and $c$--projective compactifications of Einstein metrics
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Peer-reviewed
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Authors
Dunajski, maciej
Waterhouse, Alice
Gover, Rod
Dunajski, Maciej
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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Journal Title
Annales Henri Poincare
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Journal ISSN
0018-0238
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Publisher
Springer Nature
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Science and Technology Facilities Council (ST/P000681/1)
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