A Positive Mass Theorem on Asymptotically Hyperbolic Manifolds with Corners along a Hypersurface
A Positive Mass Theorem on Asymptotically Hyperbolic Manifolds with Corners along a Hypersurface
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DOI：
10.1007/s00023-008-0358-8
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发表时间：
2007-11
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影响因子：
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通讯作者：
Vincent Bonini;J. Qing
中科院分区：
文献类型：
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作者：
Vincent Bonini;J. Qing
本文采用类似于[13]的方法建立了允许角点沿着的自旋渐近双曲流形的正质量定理。主要的分析使用的扰动本征函数方程的解的积分表示，以获得在正确的顺序的解决方案的渐近展开。这使我们能够理解渐近双曲度规的共形变化的质量方面的变化。
In this paper we take an approach similar to that in [13] to establish a positive mass theorem for spin asymptotically hyperbolic manifolds admitting corners along a hypersurface. The main analysis uses an integral representation of a solution to a perturbed eigenfunction equation to obtain an asymptotic expansion of the solution in the right order. This allows us to understand the change of the mass aspect of a conformal change of asymptotically hyperbolic metrics.