English

Geometrically finite Poincar\'e-Einstein metrics

Differential Geometry 2020-04-22 v1 Analysis of PDEs

Abstract

We construct new examples of Einstein metrics by perturbing the conformal infinity of geometrically finite hyperbolic metrics and by applying the inverse function theorem in suitable weighted H\"older spaces.

Keywords

Cite

@article{arxiv.1906.11341,
  title  = {Geometrically finite Poincar\'e-Einstein metrics},
  author = {Eric Bahuaud and Frédéric Rochon},
  journal= {arXiv preprint arXiv:1906.11341},
  year   = {2020}
}

Comments

28 pages

R2 v1 2026-06-23T10:04:46.862Z