On the existence of homogeneous solitons of gradient type for the G$_2$-Laplacian flow
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866914749876273152 |
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| author | Fino, Anna Raffero, Alberto |
| author_facet | Fino, Anna Raffero, Alberto |
| contents | In this note, we prove the existence of homogeneous gradient solitons for the G$_2$-Laplacian flow by providing the first known example of this type. This result singles out the G$_2$-Laplacian flow as the first known geometric flow admitting homogeneous gradient solitons on spaces that are one-dimensional extensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_08951 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the existence of homogeneous solitons of gradient type for the G$_2$-Laplacian flow Fino, Anna Raffero, Alberto Differential Geometry In this note, we prove the existence of homogeneous gradient solitons for the G$_2$-Laplacian flow by providing the first known example of this type. This result singles out the G$_2$-Laplacian flow as the first known geometric flow admitting homogeneous gradient solitons on spaces that are one-dimensional extensions. |
| title | On the existence of homogeneous solitons of gradient type for the G$_2$-Laplacian flow |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2308.08951 |