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...
Збережено в:
| Дата: | 2010 |
|---|---|
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2010
|
| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146118 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On Special Berwald Metrics / E. Tayebi // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 16 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-146118 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1461182019-02-08T01:23:17Z On Special Berwald Metrics Tayebi, A. Peyghan, E. 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. 2010 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/146118 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Tayebi, A. Peyghan, E. |
| spellingShingle |
Tayebi, A. Peyghan, E. On Special Berwald Metrics Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Tayebi, A. Peyghan, E. |
| author_sort |
Tayebi, A. |
| title |
On Special Berwald Metrics |
| title_short |
On Special Berwald Metrics |
| title_full |
On Special Berwald Metrics |
| title_fullStr |
On Special Berwald Metrics |
| title_full_unstemmed |
On Special Berwald Metrics |
| title_sort |
on special berwald metrics |
| publisher |
Інститут математики НАН України |
| publishDate |
2010 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146118 |
| citation_txt |
On Special Berwald Metrics / E. Tayebi // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 16 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT tayebia onspecialberwaldmetrics AT peyghane onspecialberwaldmetrics |
| first_indexed |
2023-05-20T17:23:52Z |
| last_indexed |
2023-05-20T17:23:52Z |
| _version_ |
1796153202756812800 |