Canonical identification at infinity for Ricci-flat manifolds
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- October 2019
- DOI:
- 10.48550/arXiv.1910.12287
- arXiv:
- arXiv:1910.12287
- Bibcode:
- 2019arXiv191012287P
- Keywords:
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- Mathematics - Differential Geometry;
- Mathematics - Analysis of PDEs;
- Mathematics - Metric Geometry;
- 58J05;
- 35J05