Finsler metrics of scalar flag curvature and projective invariants

被引：0

作者：

Najafi, B. ^{[1
]}

Tayebi, A. ^{[2
]}

机构：

[1] Shahed Univ, Fac Sci, Dept Math, Tehran, Iran

[2] Qom Univ, Fac Sci, Dept Math, Qom, Iran

来源：

BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS | 2010年 / 15卷 / 02期

关键词：

Projective transformation; scalar flag curvature; MANIFOLDS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we define a new projective invariant and call it (W) over tilde -curvature. We prove that a Finsler manifold with dimension n >= 3 is of constant flag curvature if and only if its (W) over tilde -curvature vanishes. Various kinds of projectively flatness of Finsler metrics and their equivalency on Riemannian metrics are also studied.

引用

页码：90 / 99

页数：10

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DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, 2009, 27 (01) :7-14

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