In this paper, we study a class of Finsler metrics defined by a Riemannian metric, a 1-form and its norm. We show that every non-trivial Douglas flat metrics in such a form can be reexpressed to a special one defined by a Riemannian metric, a closed conformal 1-form and its norm in dimensional n >= 3.
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机译：在本文中，我们研究了一类由黎曼度量、1-形式及其范数定义的 Finsler 度量。我们证明，这种形式的每个非平凡的道格拉斯平面度量都可以重新表示为由黎曼度量定义的特殊度量，即闭合共形 1 形式及其维数 n >= 3 的范数。
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