On the automorphism group of a symplectic half-flat 6-manifold
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2018
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| _version_ | 1866929654984605696 |
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| author | Podestà, Fabio Raffero, Alberto |
| author_facet | Podestà, Fabio Raffero, Alberto |
| contents | We prove that the automorphism group of a compact 6-manifold $M$ endowed with a symplectic half-flat SU(3)-structure has abelian Lie algebra with dimension bounded by min$\{5,b_1(M)\}$. Moreover, we study the properties of the automorphism group action and we discuss relevant examples. In particular, we provide new complete examples on $T\mathbb{S}^3$ which are invariant under a cohomogeneity one action of SO(4). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1802_09412 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | On the automorphism group of a symplectic half-flat 6-manifold Podestà, Fabio Raffero, Alberto Differential Geometry High Energy Physics - Theory We prove that the automorphism group of a compact 6-manifold $M$ endowed with a symplectic half-flat SU(3)-structure has abelian Lie algebra with dimension bounded by min$\{5,b_1(M)\}$. Moreover, we study the properties of the automorphism group action and we discuss relevant examples. In particular, we provide new complete examples on $T\mathbb{S}^3$ which are invariant under a cohomogeneity one action of SO(4). |
| title | On the automorphism group of a symplectic half-flat 6-manifold |
| topic | Differential Geometry High Energy Physics - Theory |
| url | https://arxiv.org/abs/1802.09412 |