Singular Yamabe Problem Willmore Energies
Skip to main content
eScholarship
Open Access Publications from the University of California

Singular Yamabe Problem Willmore Energies

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

Published Web Location

https://arxiv.org/pdf/1508.01838.pdf
No data is associated with this publication.
Abstract

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.

Item not freely available? Link broken?
Report a problem accessing this item