학술논문

On a class of Finsler metrics with isotropic Berwald curvature
Document Type
Article
Author
Source
대한수학회보, 54(2), pp.399-416 Mar, 2017
Subject
수학
Language
English
ISSN
2234-3016
1015-8634
Abstract
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.