On spherically symmetric Finsler metrics with vanishing Douglas curvature

On spherically symmetric Finsler metrics with vanishing Douglas curvature
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DOI:
10.1016/j.difgeo.2013.09.002
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发表时间:
2013-12
影响因子:
0.5
通讯作者:
X. Mo;Newton Solórzano;K. Tenenblat
X. Mo;Newton Solórzano;K. Tenenblat
中科院分区:
数学4区
文献类型:
--
作者:
X. Mo;Newton Solórzano;K. Tenenblat

文献摘要

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我们得到了刻画具有零道格拉斯曲率的球对称Finsler度规的微分方程。通过解这个方程,我们得到了所有球对称的Douglas度规。文中包含了许多明确的例子。
We obtain the differential equation that characterizes the spherically symmetric Finsler metrics with vanishing Douglas curvature. By solving this equation, we obtain all the spherically symmetric Douglas metrics. Many explicit examples are included.