On conformal transformation of $\Xi$-curvature
In this paper, we study the conformal transformation of recent defined non-Riemannian curvature in Finsler Geometry, namely $\Xi$-curvature. Indeed, we obtain the necessary and sufficient condition under which the conformal transformation preserves the $\Xi$-curvature.
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| Format: | Article |
| Language: | English |
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Amirkabir University of Technology
2025-02-01
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| Series: | AUT Journal of Mathematics and Computing |
| Subjects: | |
| Online Access: | https://ajmc.aut.ac.ir/article_5316_645d8d430e1f4a13df2e00942ee83147.pdf |
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| _version_ | 1823858292265320448 |
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| author | Narges Panahi Bahman Rezaei Akbar Tayebi |
| author_facet | Narges Panahi Bahman Rezaei Akbar Tayebi |
| author_sort | Narges Panahi |
| collection | DOAJ |
| description | In this paper, we study the conformal transformation of recent defined non-Riemannian curvature in Finsler Geometry, namely $\Xi$-curvature. Indeed, we obtain the necessary and sufficient condition under which the conformal transformation preserves the $\Xi$-curvature. |
| format | Article |
| id | doaj-art-b2421cc34cfd471588382d3b55f8ed35 |
| institution | Kabale University |
| issn | 2783-2449 2783-2287 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Amirkabir University of Technology |
| record_format | Article |
| series | AUT Journal of Mathematics and Computing |
| spelling | doaj-art-b2421cc34cfd471588382d3b55f8ed352025-02-11T12:37:04ZengAmirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-24492783-22872025-02-016214315010.22060/ajmc.2023.22827.11965316On conformal transformation of $\Xi$-curvatureNarges Panahi0Bahman Rezaei1Akbar Tayebi2Department of Mathematics, Faculty of Science, Urmia University, West Azarbayjan, IranDepartment of Mathematics, Faculty of Science, Urmia University, West Azarbayjan, IranDepartment of Mathematics, Faculty of Science, University of Qom, Qom, IranIn this paper, we study the conformal transformation of recent defined non-Riemannian curvature in Finsler Geometry, namely $\Xi$-curvature. Indeed, we obtain the necessary and sufficient condition under which the conformal transformation preserves the $\Xi$-curvature.https://ajmc.aut.ac.ir/article_5316_645d8d430e1f4a13df2e00942ee83147.pdf$s$-curvature$\xi$-curvature |
| spellingShingle | Narges Panahi Bahman Rezaei Akbar Tayebi On conformal transformation of $\Xi$-curvature AUT Journal of Mathematics and Computing $s$-curvature $\xi$-curvature |
| title | On conformal transformation of $\Xi$-curvature |
| title_full | On conformal transformation of $\Xi$-curvature |
| title_fullStr | On conformal transformation of $\Xi$-curvature |
| title_full_unstemmed | On conformal transformation of $\Xi$-curvature |
| title_short | On conformal transformation of $\Xi$-curvature |
| title_sort | on conformal transformation of xi curvature |
| topic | $s$-curvature $\xi$-curvature |
| url | https://ajmc.aut.ac.ir/article_5316_645d8d430e1f4a13df2e00942ee83147.pdf |
| work_keys_str_mv | AT nargespanahi onconformaltransformationofxicurvature AT bahmanrezaei onconformaltransformationofxicurvature AT akbartayebi onconformaltransformationofxicurvature |