Generalized Kähler manifolds via mapping tori
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909221332713472 |
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| author | Brienza, Beatrice Fino, Anna |
| author_facet | Brienza, Beatrice Fino, Anna |
| contents | Starting from the product of a $3$-torus and a compact Kähler (respectively, hyperKähler) manifold we construct via mapping tori generalized Kähler manifolds of split (respectively, non-split) type. In this way we obtain new non-Kähler examples and we recover the known examples of generalized Kähler solvmanifolds. Moreover, we investigate the formality and the Dolbeault cohomology of the generalized Kähler mapping tori. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_11075 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Generalized Kähler manifolds via mapping tori Brienza, Beatrice Fino, Anna Differential Geometry Starting from the product of a $3$-torus and a compact Kähler (respectively, hyperKähler) manifold we construct via mapping tori generalized Kähler manifolds of split (respectively, non-split) type. In this way we obtain new non-Kähler examples and we recover the known examples of generalized Kähler solvmanifolds. Moreover, we investigate the formality and the Dolbeault cohomology of the generalized Kähler mapping tori. |
| title | Generalized Kähler manifolds via mapping tori |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2305.11075 |