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arXiv 2005.047872020-05math.APmath-phmath.DGmath.MP

Some properties of Dirac-Einstein bubbles

William Borrelli, Ali Maalaoui

备注：: 14 pages. J. Geom. Anal. (2020)
DOI：: 10.1007/s12220-020-00503-1

英文摘要：

We prove smoothness and provide the asymptotic behavior at infinity of solutions of Dirac-Einstein equations on $\mathbb{R}^3$, which appear in the bubbling analysis of conformal Dirac-Einstein equations on spin 3-manifolds. Moreover, we classify ground state solutions, proving that the scalar part is given by Aubin-Talenti functions, while the spinorial part is the conformal image of $-\frac{1}{2}$-Killing spinors on the round sphere $\mathbb{S}^3$.

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