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arXiv · 2005.08963

Singular Yamabe metrics by equivariant reduction

Ali Hyder·Angela Pistoia·Yannick Sire
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Abstract

We construct singular solutions to the Yamabe equation using a reduction of the problem in an equivariant setting. This provides a non-trivial geometric example for which the analysis is simpler than in Mazzeo-Pacard program. Our construction provides also a non-trivial example of a weak solution to the Yamabe problem involving an equation with (smooth) coefficients.

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Ali Hyder, Angela Pistoia, Yannick Sire. 2020-05-18. Singular Yamabe metrics by equivariant reduction. https://arxiv.org/abs/2005.08963

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