ON A CLASS OF FINSLER METRICS WITH ISOTROPIC BERWALD CURVATURE

In this paper, we study a class of Finsler metrics called general $\ab$-metrics, which are defined by a Riemannian metric $\a$ and a $1$-form $\b$. We show that every general $\ab$-metric with isotropic Berwald curvature is either a Berwald metric or a Randers metric. Moreover, a lot of new isotropi...

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Bibliographic Details
Published in:Taehan Suhakhoe hoebo 2017, 54(2), , pp.399-416
Main Author: Zhu, Hongmei
Format: Article
Language:English
Subjects:
수학
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Summary:In this paper, we study a class of Finsler metrics called general $\ab$-metrics, which are defined by a Riemannian metric $\a$ and a $1$-form $\b$. We show that every general $\ab$-metric with isotropic Berwald curvature is either a Berwald metric or a Randers metric. Moreover, a lot of new isotropic Berwald general $\ab$-metrics are constructed explicitly. KCI Citation Count: 4
ISSN:1015-8634
2234-3016
DOI:10.4134/BKMS.b150784