共形 Dirichlet-Neumann 映射与 Poincaré-Einstein 流形
微分几何
2008-04-25 v2 数学物理
math.MP
摘要
发展了 Poincaré-Einstein 流形的共形描述：这些结构被视为一种称为“近 Einstein 结构”的自然弱化 Einstein 条件的特例。此举有两个目的：一是阐明 Graham-Zworski 的散射构造与 Branson 及作者的高阶共形 Dirichlet-Neumann 映射之间的关系；二是勾勒张量丛之间非局部（Dirichlet-to-Neumann 型）共形算子的新构造。
引用
@article{arxiv.0710.2585,
title = {Conformal Dirichlet-Neumann Maps and Poincar\'e-Einstein Manifolds},
author = {A. Rod Gover},
journal= {arXiv preprint arXiv:0710.2585},
year = {2008}
}
评论
This is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/