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Canonical Identification at Infinity for Ricci-Flat Manifolds
The Journal of Geometric Analysis ( IF 1.2 ) Pub Date : 2021-12-02 , DOI: 10.1007/s12220-021-00738-6 Jiewon Park 1
中文翻译:
Ricci-Flat 流形在无穷远的典型识别
更新日期:2021-12-04
The Journal of Geometric Analysis ( IF 1.2 ) Pub Date : 2021-12-02 , DOI: 10.1007/s12220-021-00738-6 Jiewon Park 1
Affiliation
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:
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。