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arXiv · 1910.12287

Canonical identification at infinity for Ricci-flat manifolds

Jiewon Park
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Abstract

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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Jiewon Park. 2019-10-27. Canonical identification at infinity for Ricci-flat manifolds. https://arxiv.org/abs/1910.12287

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