The warped generalized Lagrange space and its application in physics
In this paper, we define the warped generalized Lagrangian (WGL) spaces and then examine some of their properties. In the following, we generalize the ``Tavakol-van den Bergh" condition in the theory of relativity (see 5) in this space, which is an example of the application of the warped gener...
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| Format: | Article |
| Language: | English |
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Amirkabir University of Technology
2023-03-01
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| Series: | AUT Journal of Mathematics and Computing |
| Subjects: | |
| Online Access: | https://ajmc.aut.ac.ir/article_4783_aba2de1c0d3b45132bc2af0e4118a739.pdf |
| _version_ | 1797307058047942656 |
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| author | Yousef Alipour Fakhri Mojtaba Garossi |
| author_facet | Yousef Alipour Fakhri Mojtaba Garossi |
| author_sort | Yousef Alipour Fakhri |
| collection | DOAJ |
| description | In this paper, we define the warped generalized Lagrangian (WGL) spaces and then examine some of their properties. In the following, we generalize the ``Tavakol-van den Bergh" condition in the theory of relativity (see 5) in this space, which is an example of the application of the warped generalized Lagrangian spaces in relativity (Theorem 4.6). We show that condition EPS in these spaces holds provided that the warped function $f$ satisfies the condition $\Big(e^{2f}\Big)^i=0$. |
| first_indexed | 2024-03-08T00:51:49Z |
| format | Article |
| id | doaj.art-4e22b40d35754712a439a3b9f9764780 |
| institution | Directory Open Access Journal |
| issn | 2783-2449 2783-2287 |
| language | English |
| last_indexed | 2024-03-08T00:51:49Z |
| publishDate | 2023-03-01 |
| publisher | Amirkabir University of Technology |
| record_format | Article |
| series | AUT Journal of Mathematics and Computing |
| spelling | doaj.art-4e22b40d35754712a439a3b9f97647802024-02-14T19:40:49ZengAmirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-24492783-22872023-03-014218319310.22060/ajmc.2022.20992.10764783The warped generalized Lagrange space and its application in physicsYousef Alipour Fakhri0Mojtaba Garossi1Department of Mathematics, Payame Noor University, 19395-3697, Tehran, IranDepartment of Complementary Education, Payame Noor University, Tehran, IranIn this paper, we define the warped generalized Lagrangian (WGL) spaces and then examine some of their properties. In the following, we generalize the ``Tavakol-van den Bergh" condition in the theory of relativity (see 5) in this space, which is an example of the application of the warped generalized Lagrangian spaces in relativity (Theorem 4.6). We show that condition EPS in these spaces holds provided that the warped function $f$ satisfies the condition $\Big(e^{2f}\Big)^i=0$.https://ajmc.aut.ac.ir/article_4783_aba2de1c0d3b45132bc2af0e4118a739.pdfgeneralized lagrange spacewarped productnon-linear connection |
| spellingShingle | Yousef Alipour Fakhri Mojtaba Garossi The warped generalized Lagrange space and its application in physics AUT Journal of Mathematics and Computing generalized lagrange space warped product non-linear connection |
| title | The warped generalized Lagrange space and its application in physics |
| title_full | The warped generalized Lagrange space and its application in physics |
| title_fullStr | The warped generalized Lagrange space and its application in physics |
| title_full_unstemmed | The warped generalized Lagrange space and its application in physics |
| title_short | The warped generalized Lagrange space and its application in physics |
| title_sort | warped generalized lagrange space and its application in physics |
| topic | generalized lagrange space warped product non-linear connection |
| url | https://ajmc.aut.ac.ir/article_4783_aba2de1c0d3b45132bc2af0e4118a739.pdf |
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