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arXiv · 2403.13984

Singular Solutions for the Conformal Dirac-Einstein Problem on the Sphere

Ali Maalaoui·Vittorio Martino·Tian Xu
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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.

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Ali Maalaoui, Vittorio Martino, Tian Xu. 2024-03-20. Singular Solutions for the Conformal Dirac-Einstein Problem on the Sphere. https://arxiv.org/abs/2403.13984

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