Singular Solutions for the Conformal Dirac-Einstein Problem on the Sphere
Differential Geometry
2024-03-22 v1
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.
Cite
@article{arxiv.2403.13984,
title = {Singular Solutions for the Conformal Dirac-Einstein Problem on the Sphere},
author = {Ali Maalaoui and Vittorio Martino and Tian Xu},
journal= {arXiv preprint arXiv:2403.13984},
year = {2024}
}
Comments
22 pages