PROJECTIVELY FLAT FINSLER SPACE WITH AN APPROXIMATE MATSUMOTO METRIC Park, Hong-Suh; Lee, Il-Yong; Park, Ha-Yong; Kim, Byung-Doo;
The Matsumoto metric is an ()-metric which is an exact formulation of the model of Finsler space. Lately, this metric was expressed as an infinite series form for $\beat\;<\;\alpha$ by the first author. He introduced an approximate Matsumoto metric as the ()-metric of finite series form and investigated it in . The purpose of the present paper is devoted to finding the condition for a Finsler space with an approximate Matsumoto metric to be projectively flat.
Finsler space;projectively flat;Matsumoto metric;approximate Matsumoto metric;homogeneous polynomials in () of degree r;