We give a natural way to identify between two scales, potentially arbitrarily far apart, in a non-compact Ricci-flat manifold with Euclidean volume growth when a tangent cone at infinity has smooth cross section. The identification map is given as the gradient flow of a solution to an elliptic equation.

中文翻译：

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Ricci-Flat 流形在无穷远的典型识别

当无穷远处的切锥具有光滑的横截面时，我们给出了一种自然的方法来识别两个尺度之间，可能是任意远的，在具有欧几里德体积增长的非紧凑 Ricci-flat 流形中。识别图作为椭圆方程解的梯度流给出。