2018/08/18 by Maciej Dunajski, Dunajski, Maciej, A. Rod Gover +4
Mathematics · Physics and Astronomy · #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #High Energy Physics - Theory (hep-th) #gr-qc #hep-th #math.DG
paper · pdf · doi:10.48550/arxiv.1808.06105
20 pages, 1 figure. To appear in Annales Henri Poincare
openalex publication_date 2018/08/18 · arxiv created 2020/02/11 · arxiv updated 2020/02/12 · openalex created_date 2022/08/04 · openalex updated_date 2026/07/28
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.