An Abstract Morimoto Theorem for Generalized $F$-structures
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2015
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| _version_ | 1866910339541499904 |
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| author | Aldi, Marco Grandini, Daniele |
| author_facet | Aldi, Marco Grandini, Daniele |
| contents | We abstract Morimoto's construction of complex structures on product manifolds to pairs of certain generalized $F$-structures on manifolds that are not necessarily global products. As applications we characterize invariant generalized complex structures on product manifolds in which one factor is a Lie group and we generalize a theorem of Blair, Ludden and Yano on Hermitian bicontact manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1506_00313 |
| institution | arXiv |
| publishDate | 2015 |
| record_format | arxiv |
| spellingShingle | An Abstract Morimoto Theorem for Generalized $F$-structures Aldi, Marco Grandini, Daniele Differential Geometry Symplectic Geometry We abstract Morimoto's construction of complex structures on product manifolds to pairs of certain generalized $F$-structures on manifolds that are not necessarily global products. As applications we characterize invariant generalized complex structures on product manifolds in which one factor is a Lie group and we generalize a theorem of Blair, Ludden and Yano on Hermitian bicontact manifolds. |
| title | An Abstract Morimoto Theorem for Generalized $F$-structures |
| topic | Differential Geometry Symplectic Geometry |
| url | https://arxiv.org/abs/1506.00313 |