PROJECTIVELY FLAT MATSUMOTO METRIC AND ITS APPROXIMATION  

作　　者：李本伶 

机构地区：[1]Department of Mathematics Zhejiang University.Hangzhou 310028,China

出　　处：《Acta Mathematica Scientia》2007年第4期781-789,共9页数学物理学报（B辑英文版）

基　　金：in part by NNSFC(10571154)

摘　　要：Abstract In this article, the author studies the projectively flat Matsumoto metric F=α^2/（α -β）, where α=√αijy^iy^j is a Riemannian metric and β =biy^i is 1-form. Theyconclude that α is locally projectively fiat and β is paralled with respect to α. And get the same result for the higher order approximate Matsumoto metric.Abstract In this article, the author studies the projectively flat Matsumoto metric F=α^2/（α -β）, where α=√αijy^iy^j is a Riemannian metric and β =biy^i is 1-form. Theyconclude that α is locally projectively fiat and β is paralled with respect to α. And get the same result for the higher order approximate Matsumoto metric.

关 键 词：Matsumoto metric projectively flat （ α β）-metric 

分 类 号：O186.12[理学—数学]