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On Special Berwald Metrics

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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Main Authors: Tayebi, A., Peyghan, E.
Format: Article
Language:English
Published: Інститут математики НАН України 2010
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/146118
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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
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