Year: 2026
Type: preprint
Abstract: We complete, in the general Riemannian setting, the classification of isolated singularities of positive solutions to the Yamabe equation for dimensions \(3\le n\le29\), initiated in the flat case by Caffarelli, Gidas, and Spruck in 1989. Precisely, every isolated singularity is either removable or the solution is asymptotic to a Fowler solution. The sharpness of this range is established by counterexamples for every dimension \(n\ge30\) in our companion paper.
Source: arXiv (Cornell University)
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G6591056831
OpenAlex ID: W7214203928