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math.DGMar 1, 2005
23
citations (OpenAlex)
authors
  • Michael T. Anderson
arXiv abstractPDF
paper

Topics in conformally compact Einstein metrics

arXiv:math/0503243

Abstract

We discuss a number of topics in the area of conformally compact Einstein metrics, mostly centered around the global existence question of finding such metrics with an arbitrarily prescribed conformal infinity. The paper is partly a survey of this area but also presents new results and a number of open problems.

24pp, to appear in Proc. CRM, Montreal

References in corpus (1)

  • Large N Field Theories, String Theory and Gravity

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  • On the spectral theory and dynamics of asymptotically hyperbolic manifolds
  • Locally conformally flat Lorentzian quasi-Einstein manifolds
  • Renormalizing Curvature Integrals on Poincare-Einstein Manifolds
  • Harmonic forms on asymptotically AdS metrics
  • Uniqueness of the AdS Spacetime among Static Vacua with prescribed Null infinity
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