Acta mathematica scientia, Series B >
PROJECTIVELY FLAT MATSUMOTO METRIC AND ITS APPROXIMATION
Received date: 2005-10-22
Revised date: 2006-02-20
Online published: 2007-10-20
In this article, the author studies the projectively flat Matsumoto metric F=α2/(α-β), where α=\sqrt{a_{ij}y^{i}y^{j}} is a Riemannian metric and β=biyi is a 1-form. They conclude that α is locally projectively flat and β is paralled with respect to α. And get the same result for the higher order approximate Matsumoto metric.
Key words: Matsumoto metric; projectively flat; (α,β)-metric
Li Benling . PROJECTIVELY FLAT MATSUMOTO METRIC AND ITS APPROXIMATION[J]. Acta mathematica scientia, Series B, 2007 , 27(4) : 781 -789 . DOI: 10.1016/S0252-9602(07)60075-7
/
| 〈 |
|
〉 |