On generalized Kropina change of mth root Finsler metric

被引：3
|
作者：
Tiwari, Bankteshwar [1 ]
Prajapati, Ghanashyam Kr. [1 ]
机构：
[1] Banaras Hindu Univ, DST CIMS, Inst Sci, Varanasi 221005, Uttar Pradesh, India
来源：
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2017年 / 14卷 / 05期
关键词：
Finsler space; generalized Kropina metrics; mth root metrics; projectively flat; locally dually flat and conformal transformation; GEOMETRY;
D O I：
10.1142/S0219887817500815
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In the present paper, we consider generalized Kropina change of mth root Finsler metric and prove that it is locally projectively flat if and only if it is locally Minkowskian. We also establish a necessary and sufficient condition under which the generalized Kropina change of mth root metric is locally dually flat. Further it is proved that a generalized Kropina change of mth root metric cannot be conformal to an mth root Finsler metric.
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页数：11
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