Gluing constructions for asymptotically hyperbolic manifolds with constant scalar curvature
Gluing constructions for asymptotically hyperbolic manifolds with constant scalar curvature
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具有恒定标量曲率的渐近双曲流形的粘合结构
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
E. Delay
中科院分区：
文献类型：
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作者：
P. Chruściel;E. Delay
我们证明，满足$n\ge 3$维度中的小条件、或$n\ge 5$中的快速衰减条件、或$n\ge 9$中的泛性条件的渐近双曲初始数据可以通过渐近区域中任意远的变形来变形为渐近区域中恰好是Kottler（“Schwarzschild-adS”）的数据。
We show that asymptotically hyperbolic initial data satisfying smallness conditions in dimensions $n\ge 3$, or fast decay conditions in $n\ge 5$, or a genericity condition in $n\ge 9$, can be deformed, by a deformation which is supported arbitrarily far in the asymptotic region, to ones which are exactly Kottler ("Schwarzschild- adS") in the asymptotic region.