Articles

PROJECTIVELY FLAT MATSUMOTO METRIC AND ITS APPROXIMATION

  • Li Benling
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  • Department of Mathematics, Zhejiang University, Hangzhou 310028, China

Received date: 2005-10-22

  Revised date: 2006-02-20

  Online published: 2007-10-20

Abstract

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.

Cite this article

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

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