Ricci-pseudosymmetric almost $\alpha$-cosymplectic $(k,\mu ,\nu)$-spaces admitting Ricci solitons
UDC 514.7 We study some types of Ricci pseudosymmetric $\alpha$-cosymplectic $(k,\mu ,\nu)$-spaces whose metric admits Ricci solitons. We present some results obtained for Ricci solitons on Ricci pseudosymmetric, projective Ricci pseudosymmetric, concircular Ricci pseudosymmetric, and $...
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| Datum: | 2025 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Institute of Mathematics, NAS of Ukraine
2025
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/7922 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512813916618752 |
|---|---|
| author | Uygun, Pakize Atçeken, Mehmet Mert, Tugba Uygun, Pakize Atçeken, Mehmet Mert, Tugba |
| author_facet | Uygun, Pakize Atçeken, Mehmet Mert, Tugba Uygun, Pakize Atçeken, Mehmet Mert, Tugba |
| author_sort | Uygun, Pakize |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2025-11-01T09:34:13Z |
| description | UDC 514.7
We study some types of Ricci pseudosymmetric $\alpha$-cosymplectic $(k,\mu ,\nu)$-spaces whose metric admits Ricci solitons. We present some results obtained for Ricci solitons on Ricci pseudosymmetric, projective Ricci pseudosymmetric, concircular Ricci pseudosymmetric, and $W_1$-Ricci pseudosymmetric spaces. Some results on almost $\alpha$-cosymplectic $(k,\mu ,\nu)$-spaces are also presented. Finally, we give an example for the 5-dimensional case. |
| doi_str_mv | 10.3842/umzh.v77i1.7922 |
| first_indexed | 2026-03-24T03:34:45Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-7922 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:34:45Z |
| publishDate | 2025 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-79222025-11-01T09:34:13Z Ricci-pseudosymmetric almost $\alpha$-cosymplectic $(k,\mu ,\nu)$-spaces admitting Ricci solitons Ricci-pseudosymmetric almost $\alpha$-cosymplectic $(k,\mu ,\nu)$-spaces admitting Ricci solitons Uygun, Pakize Atçeken, Mehmet Mert, Tugba Uygun, Pakize Atçeken, Mehmet Mert, Tugba ®-cosymlectic (k; ¹; º)-space, W1 curvature tensor, concircular curvature tensor, Riemannian curvature tensor, Ricci Soliton. UDC 514.7 We study some types of Ricci pseudosymmetric $\alpha$-cosymplectic $(k,\mu ,\nu)$-spaces whose metric admits Ricci solitons. We present some results obtained for Ricci solitons on Ricci pseudosymmetric, projective Ricci pseudosymmetric, concircular Ricci pseudosymmetric, and $W_1$-Ricci pseudosymmetric spaces. Some results on almost $\alpha$-cosymplectic $(k,\mu ,\nu)$-spaces are also presented. Finally, we give an example for the 5-dimensional case. УДК 514.7 Річчі-псевдосиметричні майже $\alpha$-косимплектичні $(k,\mu ,\nu)$-простори, що допускають солітони Річчі Вивчаються деякі типи псевдосиметричних $\alpha$-косимплектичних $(k,\mu ,\nu)$-просторів Річчі, метрика яких допускає існування солітонів Річчі. Наведено деякі результати, отримані для солітонів Річчі на Річчі псевдосиметричному, проєктивному Річчі псевдосиметричному, конциклічному Річчі псевдосиметричному та $W_1$-Річчі псевдосиметричному просторах. Отримано деякі результати на майже $\alpha$-косимплектичних $(k,\mu ,\nu)$-просторах. Насамкінець наведено приклад для 5-вимірного випадку. Institute of Mathematics, NAS of Ukraine 2025-10-31 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/7922 10.3842/umzh.v77i1.7922 Ukrains’kyi Matematychnyi Zhurnal; Vol. 77 No. 1 (2025); 78 Український математичний журнал; Том 77 № 1 (2025); 78 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7922/10300 Copyright (c) 2025 pakize uygun |
| spellingShingle | Uygun, Pakize Atçeken, Mehmet Mert, Tugba Uygun, Pakize Atçeken, Mehmet Mert, Tugba Ricci-pseudosymmetric almost $\alpha$-cosymplectic $(k,\mu ,\nu)$-spaces admitting Ricci solitons |
| title | Ricci-pseudosymmetric almost $\alpha$-cosymplectic $(k,\mu ,\nu)$-spaces admitting Ricci solitons |
| title_alt | Ricci-pseudosymmetric almost $\alpha$-cosymplectic $(k,\mu ,\nu)$-spaces admitting Ricci solitons |
| title_full | Ricci-pseudosymmetric almost $\alpha$-cosymplectic $(k,\mu ,\nu)$-spaces admitting Ricci solitons |
| title_fullStr | Ricci-pseudosymmetric almost $\alpha$-cosymplectic $(k,\mu ,\nu)$-spaces admitting Ricci solitons |
| title_full_unstemmed | Ricci-pseudosymmetric almost $\alpha$-cosymplectic $(k,\mu ,\nu)$-spaces admitting Ricci solitons |
| title_short | Ricci-pseudosymmetric almost $\alpha$-cosymplectic $(k,\mu ,\nu)$-spaces admitting Ricci solitons |
| title_sort | ricci-pseudosymmetric almost $\alpha$-cosymplectic $(k,\mu ,\nu)$-spaces admitting ricci solitons |
| topic_facet | ®-cosymlectic (k; ¹; º)-space W1 curvature tensor concircular curvature tensor Riemannian curvature tensor Ricci Soliton. |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7922 |
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