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.
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页码：281 / 283
页数：3
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