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Article Dans Une Revue Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences Année : 2024

Asymptotic symmetries of projectively compact order one Einstein manifolds

Résumé

We show that the boundary of a projectively compact Einstein manifold of dimension n can be extended by a line bundle naturally constructed from the projective compactification. This extended boundary is such that its automorphisms can be identified with asymptotic symmetries of the compactification. The construction is motivated by the investigation of a new curved orbit decomposition for a n + 1 dimensional manifold which we prove results in a line bundle over projectively compact order one Einstein manifolds. This article is part of a discussion meeting issue ‘At the interface of asymptotics, conformal methods and analysis in general relativity’.

Dates et versions

hal-04495966 , version 1 (08-03-2024)

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Jack Borthwick, Yannick Herfray. Asymptotic symmetries of projectively compact order one Einstein manifolds. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2024, 382 (2267), ⟨10.1098/rsta.2023.0042⟩. ⟨hal-04495966⟩
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