Finslerian metric function of totally anisotropic type

被引：0
|
作者：
Asanov, G. S. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Div Theoret Phys, Moscow 119992, Russia
来源：
PUBLICATIONES MATHEMATICAE-DEBRECEN | 2007年 / 70卷 / 3-4期
关键词：
Finsler metrics; indicatrix; geodesics; angle; invariance;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The work focuses upon the geometric properties of a Minkowski space endowed with a metric function of the Berwald-Moor type. The zero curvature of the indicatrix is a remarkable property of the approach. We demonstrate how the associated geodesic equations can be solved in a transparent way, thereby obtaining a possibility to introduce unambiguously distance, angle, and scalar product. The invariance group for the metric tensor is found.
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页码：461 / 482
页数：22
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