Singular Yamabe Problem Willmore Energies
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Singular Yamabe Problem Willmore Energies

  • Author(s): Glaros, Michael
  • Gover, A. Rod
  • Halbasch, Matthew
  • Waldron, Andrew
  • et al.

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We develop the calculus for hypersurface variations based on variation of the hypersurface defining function. This is used to show that the functional gradient of a new Willmore-like, conformal hypersurface energy agrees exactly with the obstruction to smoothly solving the singular Yamabe problem for conformally compact four-manifolds. We give explicit hypersurface formulae for both the energy functional and the obstruction.

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