Curves on Endo-Pajitnov Manifolds
Endo-Pajitnov manifolds are generalizations to higher dimensions of the Inoue surfaces 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...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2025 |
| ISSN: | 1815-0659 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2025
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/214096 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Curves on Endo-Pajitnov Manifolds. Cristian Ciulică. SIGMA 21 (2025), 069, 8 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862650038872702976 |
|---|---|
| author | Ciulică, Cristian |
| author_facet | Ciulică, Cristian |
| citation_txt | Curves on Endo-Pajitnov Manifolds. Cristian Ciulică. SIGMA 21 (2025), 069, 8 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | Endo-Pajitnov manifolds are generalizations to higher dimensions of the Inoue surfaces 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.
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| first_indexed | 2026-03-15T14:41:47Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-214096 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-15T14:41:47Z |
| publishDate | 2025 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Ciulică, Cristian 2026-02-19T11:13:55Z 2025 Curves on Endo-Pajitnov Manifolds. Cristian Ciulică. SIGMA 21 (2025), 069, 8 pages 1815-0659 2020 Mathematics Subject Classification: 53C55 arXiv:2502.19520 https://nasplib.isofts.kiev.ua/handle/123456789/214096 https://doi.org/10.3842/SIGMA.2025.069 Endo-Pajitnov manifolds are generalizations to higher dimensions of the Inoue surfaces 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. My warm thanks to Liviu Ornea for suggesting this research topic and to Miron Stanciu for many useful discussions. I am grateful to the anonymous referees for their insightful and constructive suggestions, which have significantly improved the quality of this work. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Curves on Endo-Pajitnov Manifolds Article published earlier |
| spellingShingle | Curves on Endo-Pajitnov Manifolds Ciulică, Cristian |
| title | Curves on Endo-Pajitnov Manifolds |
| title_full | Curves on Endo-Pajitnov Manifolds |
| title_fullStr | Curves on Endo-Pajitnov Manifolds |
| title_full_unstemmed | Curves on Endo-Pajitnov Manifolds |
| title_short | Curves on Endo-Pajitnov Manifolds |
| title_sort | curves on endo-pajitnov manifolds |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/214096 |
| work_keys_str_mv | AT ciulicacristian curvesonendopajitnovmanifolds |