On conformally related spherically symmetric Finsler metrics

被引：3

作者：

Maleki, Maryam ^{[1
]}

Sadeghzadeh, Nasrin ^{[1
]}

Rajabi, Tahereh ^{[1
]}

机构：

[1] Univ Qom, Dept Math, Qom, Iran

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2016年 / 13卷 / 10期

关键词：

Weyl metric; Douglas metric; conformal transformation; spherically symmetric Finsler metrics in R-n; SCALAR CURVATURE;

D O I：

10.1142/S0219887816501188

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we study the projective invariant quantities in Finsler geometry which remain invariant under the conformal change of metrics. In particular, we obtain the necessary and sufficient conditions of a given Douglas and Weyl and generalized Douglas-Weyl (GDW) metric to be invariant under the conformal transformations. Finally, we introduce some explicit examples of these metrics. Also, some of these r-conformal transformations of Einstein metrics are considered.

引用

页数：16

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