Pointwise hemislant submersions from cosymplectic manifolds
UDC 514.7 We study pointwise hemislant submersions as a generalization of pointwise slant submersions and hemislant submersions from cosymplectic manifolds onto Riemannian manifolds. We investigate the integrability of distributions and the geometry of totally geodesic foliations arising from the...
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| Дата: | 2026 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
2026
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/8710 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513244336095232 |
|---|---|
| author | Karaismailoğlu, Meltem Sepet, Sezin Aykurt Ergüt, Mahmut Karaismailoğlu, Meltem Sepet, Sezin Aykurt Ergüt, Mahmut |
| author_facet | Karaismailoğlu, Meltem Sepet, Sezin Aykurt Ergüt, Mahmut Karaismailoğlu, Meltem Sepet, Sezin Aykurt Ergüt, Mahmut |
| author_sort | Karaismailoğlu, Meltem |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-03-21T13:33:24Z |
| description | UDC 514.7
We study pointwise hemislant submersions as a generalization of pointwise slant submersions and hemislant submersions from cosymplectic manifolds onto Riemannian manifolds. We investigate the integrability of distributions and the geometry of totally geodesic foliations arising from the definition of these submersions. Moreover, we study the $\phi$-pluriharmonicity of these maps and obtain some inequalities connecting the Ricci curvature with the scalar curvature, depending on whether $\xi$ is vertical or horizontal, for pointwise hemislant submersions from cosymplectic space forms onto Riemannian manifolds. |
| doi_str_mv | 10.3842/umzh.v77i8.8710 |
| first_indexed | 2026-03-24T03:41:36Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-8710 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:41:36Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-87102026-03-21T13:33:24Z Pointwise hemislant submersions from cosymplectic manifolds Pointwise hemislant submersions from cosymplectic manifolds Karaismailoğlu, Meltem Sepet, Sezin Aykurt Ergüt, Mahmut Karaismailoğlu, Meltem Sepet, Sezin Aykurt Ergüt, Mahmut Riemannian submersion pointwise hemi-slant submersion cosymplectic manifold pluriharmonicity cosymplectic space form inequality UDC 514.7 We study pointwise hemislant submersions as a generalization of pointwise slant submersions and hemislant submersions from cosymplectic manifolds onto Riemannian manifolds. We investigate the integrability of distributions and the geometry of totally geodesic foliations arising from the definition of these submersions. Moreover, we study the $\phi$-pluriharmonicity of these maps and obtain some inequalities connecting the Ricci curvature with the scalar curvature, depending on whether $\xi$ is vertical or horizontal, for pointwise hemislant submersions from cosymplectic space forms onto Riemannian manifolds. УДК 514.7 Точково напівпохилі субмерсії з косимплектичних многовидів Досліджено точково напівпохилі субмерсії як узагальнення точково похилих і напівпохилих субмерсій із косимплектичних многовидів на ріманові многовиди. Вивчено інтегровність розподілів і геометрію тотально геодезичних фоліацій, що виникають із визначення таких субмерсій. Крім того, досліджено $\phi$-плюрігармонічність таких відображень і отримано деякі нерівності, що пов’язують кривину Річчі та скалярну кривину залежно від того, чи є $\xi$ вертикальним або горизонтальним для точково напівпохилих субмерсій із косимплектичних просторів сталої кривини на ріманові многовиди. Institute of Mathematics, NAS of Ukraine 2026-03-21 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/8710 10.3842/umzh.v77i8.8710 Ukrains’kyi Matematychnyi Zhurnal; Vol. 77 No. 8 (2025); 533–534 Український математичний журнал; Том 77 № 8 (2025); 533–534 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/8710/10552 Copyright (c) 2025 Meltem Karaismailoğlu, Sezin Aykurt Sepet, Mahmut Ergüt |
| spellingShingle | Karaismailoğlu, Meltem Sepet, Sezin Aykurt Ergüt, Mahmut Karaismailoğlu, Meltem Sepet, Sezin Aykurt Ergüt, Mahmut Pointwise hemislant submersions from cosymplectic manifolds |
| title | Pointwise hemislant submersions from cosymplectic manifolds |
| title_alt | Pointwise hemislant submersions from cosymplectic manifolds |
| title_full | Pointwise hemislant submersions from cosymplectic manifolds |
| title_fullStr | Pointwise hemislant submersions from cosymplectic manifolds |
| title_full_unstemmed | Pointwise hemislant submersions from cosymplectic manifolds |
| title_short | Pointwise hemislant submersions from cosymplectic manifolds |
| title_sort | pointwise hemislant submersions from cosymplectic manifolds |
| topic_facet | Riemannian submersion pointwise hemi-slant submersion cosymplectic manifold pluriharmonicity cosymplectic space form inequality |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8710 |
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