A New Class of Finsler Metrics with Scalar Flag Curvature

被引：4

作者：

Weidong SONG

机构：

来源：

数学研究及应用 | 2012年 / 32卷 / 04期

基金：

中国国家自然科学基金;

关键词：

scalar flag curvature; locally projectively flat; general(α; β)-metrics;

D O I：

暂无

中图分类号：

O186.12 [黎曼几何];

学科分类号：

070104 ;

摘要：

In this paper,we study a new class of general(α,β)-metrics F defined by a Riemannian metric α,a 1-form β and C ∞ function φ(b2,s).We provide the projective factor of a class of general(α,β)-metrics F=αφ(b2,s),and apply these formulae to compute its flag curvature.

引用

页码：485 / 492

页数：8

共 5 条

[1] On a Class of Projectively Flat Metrics with Constant Flag Curvature. SHEN Z,YILDIRI M G C. Canadian Journal of Mathematics . 2008
[2] On a new class of Finsler metrics. Changtao YU,Hongmei ZHU. Differential Geom. Appl . 2011
[3] Uber die Geometrieen in denen die Geraden die Kurzesten sind. Hamel G. Mathematische Annalen . 1903
[4] Riemann-Finsler geometry. S. S. Chern,Z. Shen. Nankai Tracts in Mathemat-ics . 2005
[5] On a class of projectively flat Finsler metrics with constant flag curvature. Li B L,,Shen Z M. Int J Math . 2007

← 1 →