Algebraic Schouten solitons of Lorentzian Lie groups with Yano connections
In this paper, we discuss the beingness conditions for algebraic Schouten solitons associated with Yano connections in the background of three-dimensional Lorentzian Lie groups. By transforming equations of algebraic Schouten solitons into algebraic equations, the existence conditions of solitons ar...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-11-01
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| Series: | Communications in Analysis and Mechanics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/cam.2023037?viewType=HTML |
| _version_ | 1797361217257340928 |
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| author | Jinli Yang Jiajing Miao |
| author_facet | Jinli Yang Jiajing Miao |
| author_sort | Jinli Yang |
| collection | DOAJ |
| description | In this paper, we discuss the beingness conditions for algebraic Schouten solitons associated with Yano connections in the background of three-dimensional Lorentzian Lie groups. By transforming equations of algebraic Schouten solitons into algebraic equations, the existence conditions of solitons are found. In particular, we deduce some formulations for Yano connections and related Ricci operators. Furthermore, we find the detailed categorization for those algebraic Schouten solitons on three-dimensional Lorentzian Lie groups. The major results demonstrate that algebraic Schouten solitons related to Yano connections are present in $ G_{1} $, $ G_{2} $, $ G_{3} $, $ G_{5} $, $ G_{6} $ and $ G_{7} $, while they are not identifiable in $ G_{4} $. |
| first_indexed | 2024-03-08T15:50:45Z |
| format | Article |
| id | doaj.art-6f49a14a08724b4c9ce1d3f655f5fe4d |
| institution | Directory Open Access Journal |
| issn | 2836-3310 |
| language | English |
| last_indexed | 2024-03-08T15:50:45Z |
| publishDate | 2023-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Communications in Analysis and Mechanics |
| spelling | doaj.art-6f49a14a08724b4c9ce1d3f655f5fe4d2024-01-09T06:07:38ZengAIMS PressCommunications in Analysis and Mechanics2836-33102023-11-0115476379110.3934/cam.2023037Algebraic Schouten solitons of Lorentzian Lie groups with Yano connectionsJinli Yang0Jiajing Miao 1School of Mathematics, Mudanjiang Normal University, Mudanjiang 157011, P. R. ChinaSchool of Mathematics, Mudanjiang Normal University, Mudanjiang 157011, P. R. ChinaIn this paper, we discuss the beingness conditions for algebraic Schouten solitons associated with Yano connections in the background of three-dimensional Lorentzian Lie groups. By transforming equations of algebraic Schouten solitons into algebraic equations, the existence conditions of solitons are found. In particular, we deduce some formulations for Yano connections and related Ricci operators. Furthermore, we find the detailed categorization for those algebraic Schouten solitons on three-dimensional Lorentzian Lie groups. The major results demonstrate that algebraic Schouten solitons related to Yano connections are present in $ G_{1} $, $ G_{2} $, $ G_{3} $, $ G_{5} $, $ G_{6} $ and $ G_{7} $, while they are not identifiable in $ G_{4} $.https://www.aimspress.com/article/doi/10.3934/cam.2023037?viewType=HTMLalgebraic schouten solitonsyano connectionslorentzian lie groups |
| spellingShingle | Jinli Yang Jiajing Miao Algebraic Schouten solitons of Lorentzian Lie groups with Yano connections Communications in Analysis and Mechanics algebraic schouten solitons yano connections lorentzian lie groups |
| title | Algebraic Schouten solitons of Lorentzian Lie groups with Yano connections |
| title_full | Algebraic Schouten solitons of Lorentzian Lie groups with Yano connections |
| title_fullStr | Algebraic Schouten solitons of Lorentzian Lie groups with Yano connections |
| title_full_unstemmed | Algebraic Schouten solitons of Lorentzian Lie groups with Yano connections |
| title_short | Algebraic Schouten solitons of Lorentzian Lie groups with Yano connections |
| title_sort | algebraic schouten solitons of lorentzian lie groups with yano connections |
| topic | algebraic schouten solitons yano connections lorentzian lie groups |
| url | https://www.aimspress.com/article/doi/10.3934/cam.2023037?viewType=HTML |
| work_keys_str_mv | AT jinliyang algebraicschoutensolitonsoflorentzianliegroupswithyanoconnections AT jiajingmiao algebraicschoutensolitonsoflorentzianliegroupswithyanoconnections |