Canonical corrections of Finsler metrics and Finslerian connections on Riemannian metrics

被引：6
|
作者：
Vargas, JG
Torr, DG
机构：
[1] UNIV ALABAMA,DEPT PHYS,HUNTSVILLE,AL 35899
[2] UNIV ALABAMA,CTR SPACE PLASMA & AERONOM RES,HUNTSVILLE,AL 35899
来源：
GENERAL RELATIVITY AND GRAVITATION | 1996年 / 28卷 / 04期
关键词：
D O I：
10.1007/BF02105087
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
A concept of canonical connection of a Finsler metric is developed. Connections that are compatible with Finsler metrics are compared with the canonical connection itself. They are also compared with the corresponding Cartan connection. A necessary and sufficient condition on metric Finsler connections is given for the metric to be Riemannian. This study unearths different ways in which Finsler geometry could be used to generalize the theory of general relativity.
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页码：451 / 469
页数：19
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