On the projective Randers metrics

被引：1

作者：

Rafie-Rad, Mehdi ^{[1
,2
]}

Rezaei, Bahman ^{[3
]}

机构：

[1] Univ Mazandaran, Fac Math Sci, Dept Math, Babol Sar, Iran

[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran

[3] Urmia Univ, Fac Sci, Dept Math, Orumiyeh, Iran

来源：

COMPTES RENDUS MATHEMATIQUE | 2012年 / 350卷 / 5-6期

关键词：

FINSLER METRICS; CURVATURE;

D O I：

10.1016/j.crma.2012.02.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is proved that a Randers metric F = alpha + beta on a manifold of dimension n >= 3 is projective if and only if the Lie algebra of projective vector fields p(M, F) has (locally) dimension n(n + 2). This can be regarded as an analogue of the corresponding result in Riemannian geometry. (C) 2012 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：281 / 283

页数：3

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