On Special Berwald Metrics
In this paper, we study a class of Finsler metrics which contains the class of Berwald metrics as a special case. We prove that every Finsler metric in this class is a generalized Douglas-Weyl metric. Then we study isotropic flag curvature Finsler metrics in this class. Finally we show that on this...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2010 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2010
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146118 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On Special Berwald Metrics / E. Tayebi // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 16 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862736253538009088 |
|---|---|
| author | Tayebi, A. Peyghan, E. |
| author_facet | Tayebi, A. Peyghan, E. |
| citation_txt | On Special Berwald Metrics / E. Tayebi // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 16 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | In this paper, we study a class of Finsler metrics which contains the class of Berwald metrics as a special case. We prove that every Finsler metric in this class is a generalized Douglas-Weyl metric. Then we study isotropic flag curvature Finsler metrics in this class. Finally we show that on this class of Finsler metrics, the notion of Landsberg and weakly Landsberg curvature are equivalent.
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| first_indexed | 2025-12-07T19:52:45Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146118 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T19:52:45Z |
| publishDate | 2010 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Tayebi, A. Peyghan, E. 2019-02-07T14:43:51Z 2019-02-07T14:43:51Z 2010 On Special Berwald Metrics / E. Tayebi // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 16 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 53C60; 53C25 https://nasplib.isofts.kiev.ua/handle/123456789/146118 In this paper, we study a class of Finsler metrics which contains the class of Berwald metrics as a special case. We prove that every Finsler metric in this class is a generalized Douglas-Weyl metric. Then we study isotropic flag curvature Finsler metrics in this class. Finally we show that on this class of Finsler metrics, the notion of Landsberg and weakly Landsberg curvature are equivalent. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On Special Berwald Metrics Article published earlier |
| spellingShingle | On Special Berwald Metrics Tayebi, A. Peyghan, E. |
| title | On Special Berwald Metrics |
| title_full | On Special Berwald Metrics |
| title_fullStr | On Special Berwald Metrics |
| title_full_unstemmed | On Special Berwald Metrics |
| title_short | On Special Berwald Metrics |
| title_sort | on special berwald metrics |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146118 |
| work_keys_str_mv | AT tayebia onspecialberwaldmetrics AT peyghane onspecialberwaldmetrics |