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arXiv · 1508.01838

Singular Yamabe Problem Willmore Energies

Michael Glaros·A. Rod Gover·Matthew Halbasch·Andrew Waldron
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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.

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Michael Glaros, A. Rod Gover, Matthew Halbasch, Andrew Waldron. 2015-08-07. Singular Yamabe Problem Willmore Energies. https://arxiv.org/abs/1508.01838

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