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http://dx.doi.org/10.7858/eamj.2012.28.1.025

ON PROJECTIVELY FLAT FINSLER SPACE WITH AN APPROXIMATE INFINITE SERIES (α,β)-METRIC  

Lee, Il-Yong (Department of Mathematics, Kyungsung University)
Publication Information
East Asian mathematical journal / v.28, no.1, 2012 , pp. 25-36 More about this Journal
Abstract
We introduced a Finsler space $F^n$ with an approximate infinite series (${\alpha},{\beta}$-metric $L({\alpha},{\beta})={\beta}\sum\limits_{k=0}^r\(\frac{\alpha}{\beta}\)^k$, where ${\alpha}<{\beta}$ and investigated it with respect to Berwald space ([12]) and Douglas space ([13]). The present paper is devoted to finding the condition that is projectively at on a Finsler space $F^n$ with an approximate infinite series (${\alpha},{\beta}$)-metric above.
Keywords
Finsler space; projectively flat; in finite series (${\alpha},{\beta}$)-metric; approximate in finite serie (${\alpha},{\beta}$)-metric; homogeneous polynomials in ($y^i$) of degree r;
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