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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.10122 |
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| _version_ | 1866917078390276096 |
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| author | Loi, Andrea Mossa, Roberto Zuddas, Fabio |
| author_facet | Loi, Andrea Mossa, Roberto Zuddas, Fabio |
| contents | We extend the polydisk theorem of [21], originally established for classical Cartan-Hartogs domains, to Hartogs domains over arbitrary (possibly reducible and exceptional) bounded symmetric domains. We further establish a dual counterpart of this result. As an application, we show that the dual of a Hartogs domain over a bounded symmetric domain admits no totally geodesic immersion into any compact Riemannian manifold, thereby broadening the rigidity phenomena obtained in [13]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_10122 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The polydisk theorem for Hartogs domains over symmetric domains Loi, Andrea Mossa, Roberto Zuddas, Fabio Differential Geometry We extend the polydisk theorem of [21], originally established for classical Cartan-Hartogs domains, to Hartogs domains over arbitrary (possibly reducible and exceptional) bounded symmetric domains. We further establish a dual counterpart of this result. As an application, we show that the dual of a Hartogs domain over a bounded symmetric domain admits no totally geodesic immersion into any compact Riemannian manifold, thereby broadening the rigidity phenomena obtained in [13]. |
| title | The polydisk theorem for Hartogs domains over symmetric domains |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2511.10122 |