Mathematics
Singular solutions for the conformal Dirac-Einstein problem on the sphere
Document Type
Article
Abstract
In this paper we investigate the existence of singular solutions to the conformal Dirac-Einstein system. Because of its conformal invariance, there are many similarities with the classical construction of singular solutions for the Yamabe problem. We construct here a family of singular solutions, on the three dimensional sphere, having exactly two singularities.
Publication Title
Nonlinearity
Publication Date
1-31-2025
Volume
38
Issue
1
ISSN
0951-7715
DOI
10.1088/1361-6544/ad9daa
Keywords
Delaunay-type Solutions, Dirac-Einstein problem, Primary: 53C27. Secondary: 35R01, singular solutions
Repository Citation
Maalaoui, Ali; Martino, Vittorio; and Xu, Tian, "Singular solutions for the conformal Dirac-Einstein problem on the sphere" (2025). Mathematics. 16.
https://commons.clarku.edu/mathematics/16
