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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2503.11582 |
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| _version_ | 1866914211399991296 |
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| author | Manno, Gianni Salis, Filippo |
| author_facet | Manno, Gianni Salis, Filippo |
| contents | In this paper, we provide necessary and sufficient conditions for the existence of para-Kaehler immersions in para-Kaehler space forms. As a consequence, we prove that, in general, a local para-Kaehler immersion cannot be globally extended, even if it is defined on a simply connected para-Kaehler manifold. Finally, we classify para-Kaehler immersions between para-Kaehler space forms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_11582 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Para-Kaehler immersions in para-Kaehler space forms Manno, Gianni Salis, Filippo Differential Geometry In this paper, we provide necessary and sufficient conditions for the existence of para-Kaehler immersions in para-Kaehler space forms. As a consequence, we prove that, in general, a local para-Kaehler immersion cannot be globally extended, even if it is defined on a simply connected para-Kaehler manifold. Finally, we classify para-Kaehler immersions between para-Kaehler space forms. |
| title | Para-Kaehler immersions in para-Kaehler space forms |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2503.11582 |