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}
}
  • Jiewon Park
  • Published 27 October 2019
  • Mathematics
  • The Journal of Geometric Analysis
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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