A sphericity criterion for strictly pseudoconvex hyper surfaces in $\mathbb{C}^2$ via invariant curves
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917893021630464 |
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| author | Bertrand, Florian Della Sala, Giuseppe Lamel, Bernhard |
| author_facet | Bertrand, Florian Della Sala, Giuseppe Lamel, Bernhard |
| contents | We prove that if every chain on a strictly pseudoconvex hypersurface $M$ in $\mathbb{C}^2$ coincides with the boundary of a stationary disc, then $M$ is locally spherical. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_08842 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A sphericity criterion for strictly pseudoconvex hyper surfaces in $\mathbb{C}^2$ via invariant curves Bertrand, Florian Della Sala, Giuseppe Lamel, Bernhard Complex Variables 32H02, 32H12, 32V35 We prove that if every chain on a strictly pseudoconvex hypersurface $M$ in $\mathbb{C}^2$ coincides with the boundary of a stationary disc, then $M$ is locally spherical. |
| title | A sphericity criterion for strictly pseudoconvex hyper surfaces in $\mathbb{C}^2$ via invariant curves |
| topic | Complex Variables 32H02, 32H12, 32V35 |
| url | https://arxiv.org/abs/2501.08842 |