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Conformal Dirichlet-Neumann Maps and Poincaré-Einstein Manifolds
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3
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Conformal Dirichlet-Neumann Maps and Poincaré-Einstein Manifolds
Інший ID:
2000 Mathematics Subject Classification: 58J40; 53A30; 58J32
Посилання:
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.
Підтримка:
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.
Дата:
2007
Переглядів:
656
Завантажень:
315
Анотація:
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.
