Conformal Dirichlet-Neumann Maps and Poincaré-Einstein Manifolds
A conformal description of Poincaré-Einstein manifolds is developed: these structures are seen to be a special case of a natural weakening of the Einstein condition termed an almost Einstein structure. This is used for two purposes: to shed light on the relationship between the scattering constructi...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2007 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2007
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/147199 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Conformal Dirichlet-Neumann Maps and Poincaré-Einstein Manifolds / A.R. Gover // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 49 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862746160578428928 |
|---|---|
| author | Gover, A.R. |
| author_facet | Gover, A.R. |
| citation_txt | Conformal Dirichlet-Neumann Maps and Poincaré-Einstein Manifolds / A.R. Gover // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 49 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | A conformal description of Poincaré-Einstein manifolds is developed: these structures are seen to be a special case of a natural weakening of the Einstein condition termed an almost Einstein structure. This is used for two purposes: to shed light on the relationship between the scattering construction of Graham-Zworski and the higher order conformal Dirichlet-Neumann maps of Branson and the author; to sketch a new construction of non-local (Dirichlet-to-Neumann type) conformal operators between tensor bundles.
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| first_indexed | 2025-12-07T20:44:23Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147199 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T20:44:23Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Gover, A.R. 2019-02-13T18:58:37Z 2019-02-13T18:58:37Z 2007 Conformal Dirichlet-Neumann Maps and Poincaré-Einstein Manifolds / A.R. Gover // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 49 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 58J40; 53A30; 58J32 https://nasplib.isofts.kiev.ua/handle/123456789/147199 A conformal description of Poincaré-Einstein manifolds is developed: these structures are seen to be a special case of a natural weakening of the Einstein condition termed an almost Einstein structure. This is used for two purposes: to shed light on the relationship between the scattering construction of Graham-Zworski and the higher order conformal Dirichlet-Neumann maps of Branson and the author; to sketch a new construction of non-local (Dirichlet-to-Neumann type) conformal operators between tensor bundles. This paper is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson. ARG gratefully acknowledges support from the Royal Society of New Zealand via Marsden Grant no. 06-UOA-029. It is a pleasure to thank Andreas Cap, Robin Graham, Colin Guillarmou and Andrew Hassell for helpful discussions. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Conformal Dirichlet-Neumann Maps and Poincaré-Einstein Manifolds Article published earlier |
| spellingShingle | Conformal Dirichlet-Neumann Maps and Poincaré-Einstein Manifolds Gover, A.R. |
| title | Conformal Dirichlet-Neumann Maps and Poincaré-Einstein Manifolds |
| title_full | Conformal Dirichlet-Neumann Maps and Poincaré-Einstein Manifolds |
| title_fullStr | Conformal Dirichlet-Neumann Maps and Poincaré-Einstein Manifolds |
| title_full_unstemmed | Conformal Dirichlet-Neumann Maps and Poincaré-Einstein Manifolds |
| title_short | Conformal Dirichlet-Neumann Maps and Poincaré-Einstein Manifolds |
| title_sort | conformal dirichlet-neumann maps and poincaré-einstein manifolds |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147199 |
| work_keys_str_mv | AT goverar conformaldirichletneumannmapsandpoincareeinsteinmanifolds |