A class of eternal solutions to the G$_2$-Laplacian flow
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2018
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| _version_ | 1866915087902572544 |
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| author | Fino, Anna Raffero, Alberto |
| author_facet | Fino, Anna Raffero, Alberto |
| contents | We explicitly describe the solution of the G$_2$-Laplacian flow starting from an extremally Ricci-pinched closed G$_2$-structure on a compact 7-manifold and we investigate its properties. In particular, we show that the solution exists for all real times and that it remains extremally Ricci-pinched. This result holds more generally on any 7-manifold whenever the intrinsic torsion of the extremally Ricci-pinched G$_2$-structure has constant norm. We also discuss various examples. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1807_01128 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | A class of eternal solutions to the G$_2$-Laplacian flow Fino, Anna Raffero, Alberto Differential Geometry We explicitly describe the solution of the G$_2$-Laplacian flow starting from an extremally Ricci-pinched closed G$_2$-structure on a compact 7-manifold and we investigate its properties. In particular, we show that the solution exists for all real times and that it remains extremally Ricci-pinched. This result holds more generally on any 7-manifold whenever the intrinsic torsion of the extremally Ricci-pinched G$_2$-structure has constant norm. We also discuss various examples. |
| title | A class of eternal solutions to the G$_2$-Laplacian flow |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/1807.01128 |