Singular Solutions for the Conformal Dirac-Einstein Problem on the Sphere
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910377178038272 |
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| author | Maalaoui, Ali Martino, Vittorio Xu, Tian |
| author_facet | Maalaoui, Ali Martino, Vittorio Xu, Tian |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_13984 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Singular Solutions for the Conformal Dirac-Einstein Problem on the Sphere Maalaoui, Ali Martino, Vittorio Xu, Tian Differential Geometry 53C27, 35R01 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. |
| title | Singular Solutions for the Conformal Dirac-Einstein Problem on the Sphere |
| topic | Differential Geometry 53C27, 35R01 |
| url | https://arxiv.org/abs/2403.13984 |