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arXiv · 1808.06105

Some examples of projective and $c$--projective compactifications of Einstein metrics

Maciej Dunajski·A. Rod Gover·Alice Waterhouse
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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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Maciej Dunajski, A. Rod Gover, Alice Waterhouse. 2018-08-18. Some examples of projective and $c$--projective compactifications of Einstein metrics. https://arxiv.org/abs/1808.06105

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