Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Sasakian Space Forms
In this paper, we consider pseudosymmetric Lorentz Sasakian space forms admitting almost $\eta-$Ricci solitons in some curvature tensors. Ricci pseudosymmetry concepts of Lorentz Sasakian space forms admits $\eta-$Ricci soliton have introduced according to the choice of some special curvature tensor...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Emrah Evren KARA
2023-03-01
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| Series: | Communications in Advanced Mathematical Sciences |
| Subjects: | |
| Online Access: | https://dergipark.org.tr/tr/download/article-file/2895772 |
| _version_ | 1797294173245669376 |
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| author | Mehmet Atçeken Tuğba Mert |
| author_facet | Mehmet Atçeken Tuğba Mert |
| author_sort | Mehmet Atçeken |
| collection | DOAJ |
| description | In this paper, we consider pseudosymmetric Lorentz Sasakian space forms admitting almost $\eta-$Ricci solitons in some curvature tensors. Ricci pseudosymmetry concepts of Lorentz Sasakian space forms admits $\eta-$Ricci soliton have introduced according to the choice of some special curvature tensors such as Riemann, concircular, projective, $\mathcal{M-}$projective, $W_{1}$ and $W_{2}.$ Then, again according to the choice of the curvature tensor, necessary conditions are given for Lorentz Sasakian space form admits $\eta-$Ricci soliton to be Ricci semisymmetric. Then some characterizations are obtained and some classifications have made under the some conditions. |
| first_indexed | 2024-03-07T21:26:24Z |
| format | Article |
| id | doaj.art-f690a8374b894dbd96e0eb73c4fe9ead |
| institution | Directory Open Access Journal |
| issn | 2651-4001 |
| language | English |
| last_indexed | 2024-03-07T21:26:24Z |
| publishDate | 2023-03-01 |
| publisher | Emrah Evren KARA |
| record_format | Article |
| series | Communications in Advanced Mathematical Sciences |
| spelling | doaj.art-f690a8374b894dbd96e0eb73c4fe9ead2024-02-27T04:39:36ZengEmrah Evren KARACommunications in Advanced Mathematical Sciences2651-40012023-03-0161445910.33434/cams.12360951225Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Sasakian Space FormsMehmet Atçeken0Tuğba Mert1AKSARAY ÜNİVERSİTESİCUMHURİYET ÜNİVERSİTESİIn this paper, we consider pseudosymmetric Lorentz Sasakian space forms admitting almost $\eta-$Ricci solitons in some curvature tensors. Ricci pseudosymmetry concepts of Lorentz Sasakian space forms admits $\eta-$Ricci soliton have introduced according to the choice of some special curvature tensors such as Riemann, concircular, projective, $\mathcal{M-}$projective, $W_{1}$ and $W_{2}.$ Then, again according to the choice of the curvature tensor, necessary conditions are given for Lorentz Sasakian space form admits $\eta-$Ricci soliton to be Ricci semisymmetric. Then some characterizations are obtained and some classifications have made under the some conditions.https://dergipark.org.tr/tr/download/article-file/2895772ricci-pseudosymmetric manifoldη-ricci solitonlorentz sasakian space form |
| spellingShingle | Mehmet Atçeken Tuğba Mert Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Sasakian Space Forms Communications in Advanced Mathematical Sciences ricci-pseudosymmetric manifold η-ricci soliton lorentz sasakian space form |
| title | Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Sasakian Space Forms |
| title_full | Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Sasakian Space Forms |
| title_fullStr | Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Sasakian Space Forms |
| title_full_unstemmed | Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Sasakian Space Forms |
| title_short | Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Sasakian Space Forms |
| title_sort | almost eta ricci solitons on pseudosymmetric lorentz sasakian space forms |
| topic | ricci-pseudosymmetric manifold η-ricci soliton lorentz sasakian space form |
| url | https://dergipark.org.tr/tr/download/article-file/2895772 |
| work_keys_str_mv | AT mehmetatceken almostetariccisolitonsonpseudosymmetriclorentzsasakianspaceforms AT tugbamert almostetariccisolitonsonpseudosymmetriclorentzsasakianspaceforms |