On Special Generalized Douglas-Weyl Metrics
In this paper, we study a special class of generalized Douglas-Weyl metrics whose Douglas curvature is constant along any Finslerian geodesic. We prove that for every Landsberg metric in this class of Finsler metrics, ? = 0 if and only if H = 0. Then we show that every Finsler metric of non-zero iso...
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| Language: | English |
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University of Tehran
2012-06-01
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| Series: | Journal of Sciences, Islamic Republic of Iran |
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| Online Access: | https://jsciences.ut.ac.ir/article_25071_4c5a912dadf3aac1e5754e7de349b86c.pdf |
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| author | E. Peyghan |
| author_facet | E. Peyghan |
| author_sort | E. Peyghan |
| collection | DOAJ |
| description | In this paper, we study a special class of generalized Douglas-Weyl metrics whose Douglas curvature is constant along any Finslerian geodesic. We prove that for every Landsberg metric in this class of Finsler metrics, ? = 0 if and only if H = 0. Then we show that every Finsler metric of non-zero isotropic flag curvature in this class of metrics is a Riemannian if and only if ? = 0. |
| format | Article |
| id | doaj-art-ff23c1a02f1e48fb894d706261a915bf |
| institution | DOAJ |
| issn | 1016-1104 2345-6914 |
| language | English |
| publishDate | 2012-06-01 |
| publisher | University of Tehran |
| record_format | Article |
| series | Journal of Sciences, Islamic Republic of Iran |
| spelling | doaj-art-ff23c1a02f1e48fb894d706261a915bf2025-08-20T03:08:50ZengUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-11042345-69142012-06-0123217918425071On Special Generalized Douglas-Weyl MetricsE. Peyghan02Department of Mathematics, Faculty of Science, Arak University,In this paper, we study a special class of generalized Douglas-Weyl metrics whose Douglas curvature is constant along any Finslerian geodesic. We prove that for every Landsberg metric in this class of Finsler metrics, ? = 0 if and only if H = 0. Then we show that every Finsler metric of non-zero isotropic flag curvature in this class of metrics is a Riemannian if and only if ? = 0.https://jsciences.ut.ac.ir/article_25071_4c5a912dadf3aac1e5754e7de349b86c.pdfdouglas spacethe non-riemannian quantity hlandsberg metric |
| spellingShingle | E. Peyghan On Special Generalized Douglas-Weyl Metrics Journal of Sciences, Islamic Republic of Iran douglas space the non-riemannian quantity h landsberg metric |
| title | On Special Generalized Douglas-Weyl Metrics |
| title_full | On Special Generalized Douglas-Weyl Metrics |
| title_fullStr | On Special Generalized Douglas-Weyl Metrics |
| title_full_unstemmed | On Special Generalized Douglas-Weyl Metrics |
| title_short | On Special Generalized Douglas-Weyl Metrics |
| title_sort | on special generalized douglas weyl metrics |
| topic | douglas space the non-riemannian quantity h landsberg metric |
| url | https://jsciences.ut.ac.ir/article_25071_4c5a912dadf3aac1e5754e7de349b86c.pdf |
| work_keys_str_mv | AT epeyghan onspecialgeneralizeddouglasweylmetrics |