On a Modification of the Twistor Space
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
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| _version_ | 1866912831664816128 |
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| author | Fino, Anna Grantcharov, Gueo Federico, Alberto Pipitone |
| author_facet | Fino, Anna Grantcharov, Gueo Federico, Alberto Pipitone |
| contents | In the paper we construct a modification $S(M)$ of the twistor space of a Kähler scalar flat surface $M$ and study its complex-geometric and metric properties. In particular, we construct complete balanced metrics on $S(M)$ and show that $S(M)$ can not be Kähler when $M$ is a compact simple hyperkähler manifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_12372 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On a Modification of the Twistor Space Fino, Anna Grantcharov, Gueo Federico, Alberto Pipitone Differential Geometry In the paper we construct a modification $S(M)$ of the twistor space of a Kähler scalar flat surface $M$ and study its complex-geometric and metric properties. In particular, we construct complete balanced metrics on $S(M)$ and show that $S(M)$ can not be Kähler when $M$ is a compact simple hyperkähler manifold. |
| title | On a Modification of the Twistor Space |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2601.12372 |