Some Examples of Projective and c-projective Compactifications of Einstein Metrics

Some Examples of Projective and c-projective Compactifications of Einstein Metrics

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...

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Veröffentlicht in:Annales Henri Poincaré 2020-04, Vol.21 (4), p.1113-1133
Hauptverfasser: Dunajski, Maciej, Gover, A. Rod, Waterhouse, Alice
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Sprache:eng
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Classical and Quantum Gravitation
Dynamical Systems and Ergodic Theory
Elementary Particles
Instantons
Mathematical and Computational Physics
Mathematical Methods in Physics
Physics
Physics and Astronomy
Quantum Field Theory
Quantum Physics
Relativity Theory
Riemann manifold
Theoretical
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Gover, A. Rod
Waterhouse, Alice
description 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.
doi_str_mv 10.1007/s00023-020-00903-7
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subjects Classical and Quantum Gravitation
Dynamical Systems and Ergodic Theory
Elementary Particles
Instantons
Mathematical and Computational Physics
Mathematical Methods in Physics
Physics
Physics and Astronomy
Quantum Field Theory
Quantum Physics
Relativity Theory
Riemann manifold
Theoretical
title Some Examples of Projective and c-projective Compactifications of Einstein Metrics
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