Resonance asymptotics for asymptotically hyperbolic manifolds with warped-product ends
Resonance asymptotics for asymptotically hyperbolic manifolds with warped-product ends
复制标题
具有翘曲积端的渐近双曲流形的共振渐近
DOI：
10.3233/asy-141249
复制
发表时间：
2013
期刊：
影响因子：
--
通讯作者：
Pascal Philipp
中科院分区：
文献类型：
--
作者：
D. Borthwick;Pascal Philipp
研究了末端为翘曲积型渐近双曲流形的谱理论。我们的主要结果是共振计数函数的上界，其几何常数表示为流形的核心和定义末端的基流形的各自的Weyl常数。
We study the spectral theory of asymptotically hyperbolic manifolds with ends of warped product type. Our main result is an upper bound on the resonance counting function with a geometric constant expressed in terms of the respective Weyl constants for the core of the manifold and the base manifold defining the ends.