论文标题

Finslerian卷积指标及其特殊班级

Finslerian convolution metrics and their special classes

论文作者

Nibaruta, Gilbert

论文摘要

在这里,它引入了Finslerian几何形状中卷积度量的概念。该卷积度量是通过两个Finslerian指标之间给定的数学操作获得的一种函数。研究了Finslerian卷积指标的一些基本特性。然后是芬斯勒卷积指标的特征,该指标是riemannian,Minkowskian和Randers的类型。此外,给出了一些芬斯勒卷积的例子。

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.

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