Second order parallel tensors on $S$ -manifolds and semi-parallel hypersurfaces of $S$ -space forms
UDC 515.12 We study a second order parallel symmetric tensor in an $\mathcal{S}$-manifold and we deduce that there is no semi-parallel hypersurface in $\mathcal{S}$-space forms $\widetilde{M}^{2n+s}(c)$ with $c\neq s.$
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| Datum: | 2026 |
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| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2026
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/1524 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860507320591581184 |
|---|---|
| author | Belkhelfa, M. Mahi, F. Бельхельфа, М. Махи, Ф. |
| author_facet | Belkhelfa, M. Mahi, F. Бельхельфа, М. Махи, Ф. |
| author_sort | Belkhelfa, M. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-02-09T14:34:17Z |
| description | UDC 515.12
We study a second order parallel symmetric tensor in an $\mathcal{S}$-manifold and we deduce that there is no semi-parallel hypersurface in $\mathcal{S}$-space forms $\widetilde{M}^{2n+s}(c)$
with $c\neq s.$ |
| doi_str_mv | 10.3842/umzh.v71i10.1524 |
| first_indexed | 2026-03-24T02:07:27Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-1524 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T02:07:27Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/34/112dfe306f0fe20b7f28cfe96f284b34 |
| spelling | umjimathkievua-article-15242026-02-09T14:34:17Z Second order parallel tensors on $S$ -manifolds and semi-parallel hypersurfaces of $S$ -space forms Паралельнi тензори другого порядку на $S$ -многовидах та напiвпаралельнi гiперповерхнi $S$ -просторових форм Belkhelfa, M. Mahi, F. Бельхельфа, М. Махи, Ф. UDC 515.12 We study a second order parallel symmetric tensor in an $\mathcal{S}$-manifold and we deduce that there is no semi-parallel hypersurface in $\mathcal{S}$-space forms $\widetilde{M}^{2n+s}(c)$ with $c\neq s.$ УДК 515.12 Вивчається паралельний симетричний тензор другого порядку на $\mathcal{S}$-многовиді. Встановлено, що не існує напівпаралельної гіперповерхні в $\mathcal{S}$-просторових формах $\widetilde{M}^{2n+s}(c)$ з $c\neq s.$ Institute of Mathematics, NAS of Ukraine 2026-02-09 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/1524 10.3842/umzh.v71i10.1524 Ukrains’kyi Matematychnyi Zhurnal; Vol. 71 No. 10 (2019); 1422-1429 Український математичний журнал; Том 71 № 10 (2019); 1422-1429 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/1524/507 Copyright (c) 2019 Belkhelfa M.; Mahi F. |
| spellingShingle | Belkhelfa, M. Mahi, F. Бельхельфа, М. Махи, Ф. Second order parallel tensors on $S$ -manifolds and semi-parallel hypersurfaces of $S$ -space forms |
| title | Second order parallel tensors on $S$ -manifolds and semi-parallel hypersurfaces of $S$ -space forms |
| title_alt | Паралельнi тензори другого порядку на $S$ -многовидах
та напiвпаралельнi гiперповерхнi $S$ -просторових форм |
| title_full | Second order parallel tensors on $S$ -manifolds and semi-parallel hypersurfaces of $S$ -space forms |
| title_fullStr | Second order parallel tensors on $S$ -manifolds and semi-parallel hypersurfaces of $S$ -space forms |
| title_full_unstemmed | Second order parallel tensors on $S$ -manifolds and semi-parallel hypersurfaces of $S$ -space forms |
| title_short | Second order parallel tensors on $S$ -manifolds and semi-parallel hypersurfaces of $S$ -space forms |
| title_sort | second order parallel tensors on $s$ -manifolds and semi-parallel hypersurfaces of $s$ -space forms |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/1524 |
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