# Canonical Identification at Infinity for Ricci-Flat Manifolds

@article{Park2021CanonicalIA, title={Canonical Identification at Infinity for Ricci-Flat Manifolds}, author={Jiewon Park}, journal={The Journal of Geometric Analysis}, year={2021} }

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.

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