Canonical Submersions in Nearly Kähler Geometry
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866915779264380928 |
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| author | Stecker, Leander |
| author_facet | Stecker, Leander |
| contents | We explore submersions introduced by reducible holonomy representations of connections with parallel skew torsion. A submersion theorem extending previous, less general, results is given. As our main application we show that parallel 3-$(α,δ)$-Sasaki manifolds admit 1-dimensional submersions onto nearly Kähler orbifolds. As a secondary application we reprove that a certain class of nearly Kähler manifolds submerges onto quaternionic Kähler manifolds. This new proof gives an direct expression for the quaternionic structure on the base. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_14012 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Canonical Submersions in Nearly Kähler Geometry Stecker, Leander Differential Geometry 53B05, 53C15, 53C25, 53C29 We explore submersions introduced by reducible holonomy representations of connections with parallel skew torsion. A submersion theorem extending previous, less general, results is given. As our main application we show that parallel 3-$(α,δ)$-Sasaki manifolds admit 1-dimensional submersions onto nearly Kähler orbifolds. As a secondary application we reprove that a certain class of nearly Kähler manifolds submerges onto quaternionic Kähler manifolds. This new proof gives an direct expression for the quaternionic structure on the base. |
| title | Canonical Submersions in Nearly Kähler Geometry |
| topic | Differential Geometry 53B05, 53C15, 53C25, 53C29 |
| url | https://arxiv.org/abs/2211.14012 |