Canonical identification at infinity for Ricciflat manifolds
Abstract
We give a natural way to identify between two scales, potentially arbitrarily far apart, in a noncompact Ricciflat 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 eprints
 Pub Date:
 October 2019
 arXiv:
 arXiv:1910.12287
 Bibcode:
 2019arXiv191012287P
 Keywords:

 Mathematics  Differential Geometry;
 Mathematics  Analysis of PDEs;
 Mathematics  Metric Geometry;
 58J05;
 35J05