类质量渐近不变量的几何不变性
Geometric invariance of mass-like asymptotic invariants
摘要：
我们研究坐标不变性的一些渐近不变量，如ADM的质量或Chruelciel-Herzlich动量，给出了一个积分在“无穷大边界”。当在无穷远处改变坐标时，被积函数变化中的某些项不会衰减得足够快而在无穷远处有消失积分;但它们可能聚集在一个发散中，从而在任何闭超曲面上有消失积分。这一事实只能在直接计算后才能检验（被称为“奇怪的取消”）。我们给出了一个概念上的解释。
英文摘要：
We study coordinate-invariance of some asymptotic invariants such as the ADM mass or the Chruściel-Herzlich momentum, given by an integral over a "boundary at infinity". When changing the coordinates at infinity, some terms in the change of integrand do not decay fast enough to have a vanishing integral at infinity; but they may be gathered in a divergence, thus having vanishing integral over any closed hypersurface. This fact could only be checked after direct calculation (and was called a "curious cancellation"). We give a conceptual explanation thereof.
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