CONSTRUCTIONS OF DELAUNAY-TYPE SOLUTIONS FOR THE SPINORIAL YAMABE EQUATION ON SPHERES

Authors

• Ali Maalaoui, Clark UniversityFollow
• Yannick Sire, Johns Hopkins University
• Tian Xue, Zhejiang Normal University

Document Type

Article

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. © 2026 International Press 001.

Publication Title

Asian Journal of Mathematics

Publication Date

2026

Volume

30

Issue

1

First Page

1

Last Page

38

ISSN

1093-6106

DOI

10.4310/AJM.260406231215

Keywords

Delaunay-type solutions, singular solutions, Spinorial Yamabe

Repository Citation

Maalaoui, Ali; Sire, Yannick; and Xue, Tian, "CONSTRUCTIONS OF DELAUNAY-TYPE SOLUTIONS FOR THE SPINORIAL YAMABE EQUATION ON SPHERES" (2026). Mathematics. 53.
https://commons.clarku.edu/mathematics/53