中国科学技术大学学报 ›› 2019, Vol. 49 ›› Issue (3): 199-202.DOI: 10.3969/j.issn.0253-2778.2019.03.004
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刘 敏
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摘要: Finsler几何是没有二次型限制的黎曼几何,射影平坦是Finsler几何中非常重要的问题.通过对一个微分方程的研究得到了新的球对称射影平坦的Finsler度量并利用沈忠民的结果得到其旗曲率.
关键词: 局部射影平坦, 球对称, 误差函数, 标量旗曲率
Abstract: Finsler geometry is Riemannian geometry without quadratic restriction,and the projectively flat Finsler metrics are very important in Finsler geometry.Here a new example of projectively flat spherically symmetric Finsler metric was given by investigating a PDE equivalent, and using Shen Zhongmin’s result, its flag curvature was obtained.
Key words: locally projectively flat, spherically symmetric, error function, scalar flag curvature
刘 敏,宋卫东. 具有标量旗曲率的球对称Finsler度量[J]. 中国科学技术大学学报, 2019, 49(3): 199-202.
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链接本文: http://just-cn.ustc.edu.cn/CN/10.3969/j.issn.0253-2778.2019.03.004
http://just-cn.ustc.edu.cn/CN/Y2019/V49/I3/199