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.
Maalaoui, A., Martino, V., Xu, T. (2025). Singular solutions for the conformal Dirac-Einstein problem on the sphere. NONLINEARITY, 38(1), 1-22 [10.1088/1361-6544/ad9daa].
Singular solutions for the conformal Dirac-Einstein problem on the sphere
Martino V.;
2025
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.File in questo prodotto:
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singularDiryamaberevisedfinal.pdf
embargo fino al 23/12/2025
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