科研之友
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摘要
In this paper, we study a class of Finsler metrics in the form F(x, y) = vertical bar y vertical bar phi(vertical bar x vertical bar, < x,y >/vertical bar y vertical bar). We obtain the second-order differential equation for F to be projectively flat and manufacture new projectively flat Finsler metrics on an open subset in R-n using hypergeornetric functions. We also express F in terms of elementary functions in some special cases.
