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Finsler metrics with special curvature properties

Periodica Mathematica Hungarica
Volume/Issue:
Volume 48: Issue 1-2
DOI:
https://doi.org/10.1023/b:mahu.0000038964.96496.32
Authors: Xinyue Chen and Zhongmin Shen
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On a class of Douglas metrics

Studia Scientiarum Mathematicarum Hungarica
Volume/Issue:
Volume 46: Issue 3
DOI:
https://doi.org/10.1556/sscmath.2009.1096
Authors: Benling Li, Yibing Shen, and Zhongmin Shen

In this paper, we study a class of Finsler metrics defined by a Riemannian metric and a 1-form on a manifold. We find an equation that characterizes Douglas metrics on a manifold of dimension n ≧ 3.

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