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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 
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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Keywords

Journal Title

Annales Henri Poincare

Conference Name

Journal ISSN

0018-0238

Volume Title

Publisher

Springer Nature
Sponsorship
Science and Technology Facilities Council (ST/P000681/1)
STFC