Constructions of Delaunay-type solutions for the spinorial Yamabe equation on spheres
Abstract
In this paper we construct singular solutions to the critical Dirac equation on spheres. More precisely, first we construct solutions admitting two points singularities that we call Delaunay-type solutions because of their similarities with the Delaunay solutions constructed for the singular Yamabe problem in [31, 34]. Then we construct another kind of singular solutions admitting a great circle as a singular set. These solutions are the building blocks for singular solutions on a general Spin manifold.
Fields of Study & Subjects
Geometric Analysis and Curvature Flows
Geometric and Algebraic Topology
Algebraic and Geometric Analysis
Publication details
- Journal / source
- Asian Journal of Mathematics
- Publisher
- International Press of Boston
- Volume
- 30
- Issue
- 1
- Pages
- 1–38
- Publication date
- 1 January 2026
- Language
- EN