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Projectively flat Finsler space with an approximate Matsumoto metric
대한수학회 (The Korean Mathematical Society)|2003.07|대한수학회논문집 (Communications of the KMS)|제18권 제3호|pp. 501-513
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Abstract
The Matsumoto metric is an $(\a,\b)$-metric which is an exact formulation of the model of Finsler space. Lately, this metric was expressed as an infinite series form for $|\b|<|\a|$ by the first author. He introduced an approximate Matsumoto metric as the $(\a,\b)$-metric of finite series form and investigated it in [11]. 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.
관련 논문AI추천
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