Canonical identification at infinity for Ricci-flat manifolds
Differential Geometry
2019-10-29 v1 Analysis of PDEs
Metric Geometry
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.
Cite
@article{arxiv.1910.12287,
title = {Canonical identification at infinity for Ricci-flat manifolds},
author = {Jiewon Park},
journal= {arXiv preprint arXiv:1910.12287},
year = {2019}
}