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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2512.07460 |
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| _version_ | 1866912929137295360 |
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| author | Chan, Shan Tai |
| author_facet | Chan, Shan Tai |
| contents | In this article, we generalize some results in Chan-Yuan [Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 26 (2025), 619--644] to local holomorphic maps between Hermitian manifolds preserving $(p,p)$-forms. In particular, we obtain further rigidity theorems and non-existence theorems for such maps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_07460 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On local holomorphic maps between Hermitian manifolds preserving $(p,p)$-forms Chan, Shan Tai Differential Geometry Complex Variables 32H02, 32Q15, 53C24 In this article, we generalize some results in Chan-Yuan [Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 26 (2025), 619--644] to local holomorphic maps between Hermitian manifolds preserving $(p,p)$-forms. In particular, we obtain further rigidity theorems and non-existence theorems for such maps. |
| title | On local holomorphic maps between Hermitian manifolds preserving $(p,p)$-forms |
| topic | Differential Geometry Complex Variables 32H02, 32Q15, 53C24 |
| url | https://arxiv.org/abs/2512.07460 |