Casorati curvatures of pointwise slant submanifolds in para-complex space forms
UDC 515.1 We define and study pointwise slant and pointwise semi-slant submanifolds in para-Kaehler manifolds. Some theorems, characterizations, and examples are obtained for pointwise slant and pointwise semi-slant submanifolds. We also obtain some results concerning the Casorati curvature for a po...
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| Date: | 2026 |
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| Format: | Article |
| Language: | English |
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Institute of Mathematics, NAS of Ukraine
2026
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8956 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513347168894976 |
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| author | Ayaz, Sedat Ayaz, Sedat |
| author_facet | Ayaz, Sedat Ayaz, Sedat |
| author_sort | Ayaz, Sedat |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-03-21T13:33:56Z |
| description | UDC 515.1
We define and study pointwise slant and pointwise semi-slant submanifolds in para-Kaehler manifolds. Some theorems, characterizations, and examples are obtained for pointwise slant and pointwise semi-slant submanifolds. We also obtain some results concerning the Casorati curvature for a pointwise slant submanifold in the para-Kaehler space form. |
| doi_str_mv | 10.3842/umzh.v77i9.8956 |
| first_indexed | 2026-03-24T03:43:14Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-8956 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:43:14Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-89562026-03-21T13:33:56Z Casorati curvatures of pointwise slant submanifolds in para-complex space forms Casorati curvatures of pointwise slant submanifolds in para-complex space forms Ayaz, Sedat Ayaz, Sedat Para-Kaehler manifold, pointwise semi-slant submanifold, para-complex space form. 2020 Mathematic Subject Classification. 53C43,53C15,53C40. UDC 515.1 We define and study pointwise slant and pointwise semi-slant submanifolds in para-Kaehler manifolds. Some theorems, characterizations, and examples are obtained for pointwise slant and pointwise semi-slant submanifolds. We also obtain some results concerning the Casorati curvature for a pointwise slant submanifold in the para-Kaehler space form. УДК 515.1 Кривини казораті точково похилих підмноговидів у паракомплексних просторових формах Визначено та досліджено точково похилі й точково напівпохилі підмноговиди у паракелерових многовидах. Отримано деякі теореми, характеристики та приклади для точково похилих і точково напівпохилих підмноговидів. Також наведено результати, що стосуються кривини Казораті для точково похилого підмноговиду паракелерового простору сталої кривини. Institute of Mathematics, NAS of Ukraine 2026-03-21 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/8956 10.3842/umzh.v77i9.8956 Ukrains’kyi Matematychnyi Zhurnal; Vol. 77 No. 9 (2025); 591–592 Український математичний журнал; Том 77 № 9 (2025); 591–592 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/8956/10563 Copyright (c) 2025 Sedat Ayaz |
| spellingShingle | Ayaz, Sedat Ayaz, Sedat Casorati curvatures of pointwise slant submanifolds in para-complex space forms |
| title | Casorati curvatures of pointwise slant submanifolds in para-complex space forms |
| title_alt | Casorati curvatures of pointwise slant submanifolds in para-complex space forms |
| title_full | Casorati curvatures of pointwise slant submanifolds in para-complex space forms |
| title_fullStr | Casorati curvatures of pointwise slant submanifolds in para-complex space forms |
| title_full_unstemmed | Casorati curvatures of pointwise slant submanifolds in para-complex space forms |
| title_short | Casorati curvatures of pointwise slant submanifolds in para-complex space forms |
| title_sort | casorati curvatures of pointwise slant submanifolds in para-complex space forms |
| topic_facet | Para-Kaehler manifold, pointwise semi-slant submanifold, para-complex space form. 2020 Mathematic Subject Classification. 53C43,53C15,53C40. |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8956 |
| work_keys_str_mv | AT ayazsedat casoraticurvaturesofpointwiseslantsubmanifoldsinparacomplexspaceforms AT ayazsedat casoraticurvaturesofpointwiseslantsubmanifoldsinparacomplexspaceforms |