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 |
| Veröffentlicht: |
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| Zusammenfassung: | 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. |
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| DOI: | 10.3842/umzh.v77i1.7922 |