Biholomorphism Rigidity for Transport Twistor Spaces
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866917798074122240 |
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| author | Bohr, Jan Monard, François Paternain, Gabriel P. |
| author_facet | Bohr, Jan Monard, François Paternain, Gabriel P. |
| contents | We prove that biholomorphisms between the transport twistor spaces of simple or Anosov surfaces exhibit rigidity: they must be, up to constant rescaling and the antipodal map, the lift of an orientation preserving isometry. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_06359 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Biholomorphism Rigidity for Transport Twistor Spaces Bohr, Jan Monard, François Paternain, Gabriel P. Differential Geometry Analysis of PDEs Complex Variables We prove that biholomorphisms between the transport twistor spaces of simple or Anosov surfaces exhibit rigidity: they must be, up to constant rescaling and the antipodal map, the lift of an orientation preserving isometry. |
| title | Biholomorphism Rigidity for Transport Twistor Spaces |
| topic | Differential Geometry Analysis of PDEs Complex Variables |
| url | https://arxiv.org/abs/2410.06359 |