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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.19520 |
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| _version_ | 1866911103153340416 |
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| author | Ciulică, Cristian |
| author_facet | Ciulică, Cristian |
| contents | Endo-Pajitnov manifolds are generalizations to higher dimensions of the Inoue surfaces $S^M$. We study the existence of complex submanifolds in Endo-Pajitnov manifolds. We identify a class of these manifolds that do contain compact complex submanifolds and establish an algebraic condition under which an Endo-Pajitnov manifold contains no compact complex curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_19520 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Curves on Endo-Pajitnov Manifolds Ciulică, Cristian Differential Geometry 53C55 Endo-Pajitnov manifolds are generalizations to higher dimensions of the Inoue surfaces $S^M$. We study the existence of complex submanifolds in Endo-Pajitnov manifolds. We identify a class of these manifolds that do contain compact complex submanifolds and establish an algebraic condition under which an Endo-Pajitnov manifold contains no compact complex curves. |
| title | Curves on Endo-Pajitnov Manifolds |
| topic | Differential Geometry 53C55 |
| url | https://arxiv.org/abs/2502.19520 |