Finslerian卷积度量及其特殊类
Finslerian convolution metrics and their special classes
摘要：
本文引入了Finslerian几何中卷积度量的概念。这种卷积度量是通过两个芬斯勒度量之间的给定数学运算获得的一种函数。研究了Finslerian卷积度量的一些基本性质。然后刻画了Finslerian卷积度量的Riemannian、Minkowskian和Randers类型。最后给出了Finsler卷积的一些例子。
英文摘要：
Here, it is introduced a concept of convolution metric in Finslerian Geometry. This convolution metric is a kind of function obtained by a given mathematical operation between two Finslerian metrics. Some basic properties of the Finslerian convolution metrics are studied. Then it is characterized Finslerian convolution metrics which are of type Riemannian, Minkowskian as well as Randers. Furthermore, some examples of the Finslerian convolutions are given.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
