Some examples of projective and $c$--projective compactifications of Einstein metrics
Differential Geometry
2020-02-12 v2 General Relativity and Quantum Cosmology
High Energy Physics - Theory
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----projective compactification of neutral signature Einstein metrics canonically defined on certain rank-- affine bundles over -dimensional manifolds endowed with projective structures.
Keywords
Cite
@article{arxiv.1808.06105,
title = {Some examples of projective and $c$--projective compactifications of Einstein metrics},
author = {Maciej Dunajski and A. Rod Gover and Alice Waterhouse},
journal= {arXiv preprint arXiv:1808.06105},
year = {2020}
}
Comments
20 pages, 1 figure. To appear in Annales Henri Poincare