Nearly half-flat $\rm{SU}(3)$-structures on $S^3\times S^3$
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866917767667515392 |
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| author | Singhal, Ragini |
| author_facet | Singhal, Ragini |
| contents | We study the $\rm{SU}(3)$-structure induced on an oriented hypersurface of a 7-dimensional manifold with a nearly parallel $\rm{G}_2$-structure. We call such $\rm{SU}(3)$-structures nearly half-flat. We characterise the left invariant nearly half-flat structures on $S^3\times S^3$. This characterisation then help us to systematically analyse nearly parallel $\rm{G}_2$-structures on an interval times $ S^3\times S^3$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_11233 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Nearly half-flat $\rm{SU}(3)$-structures on $S^3\times S^3$ Singhal, Ragini Differential Geometry We study the $\rm{SU}(3)$-structure induced on an oriented hypersurface of a 7-dimensional manifold with a nearly parallel $\rm{G}_2$-structure. We call such $\rm{SU}(3)$-structures nearly half-flat. We characterise the left invariant nearly half-flat structures on $S^3\times S^3$. This characterisation then help us to systematically analyse nearly parallel $\rm{G}_2$-structures on an interval times $ S^3\times S^3$. |
| title | Nearly half-flat $\rm{SU}(3)$-structures on $S^3\times S^3$ |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2310.11233 |