Singular Yamabe metrics by equivariant reduction
Analysis of PDEs
2020-05-20 v1 Differential Geometry
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.
Keywords
Cite
@article{arxiv.2005.08963,
title = {Singular Yamabe metrics by equivariant reduction},
author = {Ali Hyder and Angela Pistoia and Yannick Sire},
journal= {arXiv preprint arXiv:2005.08963},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:1911.11891