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Trans. R. Soc. A."],"published-print":{"date-parts":[[2024,3,4]]},"abstract":"<jats:p>\n                    We show that the boundary of a projectively compact Einstein manifold of dimension\n                    <jats:inline-formula>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                        <mml:mi>n<\/mml:mi>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\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                    <jats:inline-formula>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                        <mml:mi>n<\/mml:mi>\n                        <mml:mo>+<\/mml:mo>\n                        <mml:mn>1<\/mml:mn>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    dimensional manifold which we prove results in a line bundle over projectively compact order one Einstein manifolds.\n                  <\/jats:p>\n                  <jats:p>This article is part of a discussion meeting issue \u2018At the interface of asymptotics, conformal methods and analysis in general relativity\u2019.<\/jats:p>","DOI":"10.1098\/rsta.2023.0042","type":"journal-article","created":{"date-parts":[[2024,1,14]],"date-time":"2024-01-14T19:05:15Z","timestamp":1705259115000},"update-policy":"https:\/\/doi.org\/10.1098\/crossmark-policy","source":"Crossref","is-referenced-by-count":2,"title":["Asymptotic symmetries of projectively compact order one Einstein manifolds"],"prefix":"10.1098","volume":"382","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7183-0752","authenticated-orcid":true,"given":"Jack","family":"Borthwick","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, McGill University, Montreal, Quebec, Canada"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5646-4301","authenticated-orcid":true,"given":"Yannick","family":"Herfray","sequence":"additional","affiliation":[{"name":"Institut Denis Poisson, Universit\u00e9 de Tours, Tours, Centre, France"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"175","published-online":{"date-parts":[[2024,1,15]]},"reference":[{"key":"e_1_3_7_2_2","doi-asserted-by":"publisher","DOI":"10.1215\/00127094-2644793"},{"key":"e_1_3_7_3_2","doi-asserted-by":"publisher","DOI":"10.12942\/lrr-2004-1"},{"key":"e_1_3_7_4_2","doi-asserted-by":"crossref","unstructured":"Geroch R. 1977 Asymptotic structure of space-time. 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