Conformal Dirichlet-Neumann Maps and Poincaré-Einstein Manifolds

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2007
• Main Author: Gover, A.R.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147199
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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...