Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2003; 18(3): 501-513

Printed September 1, 2003

Copyright © The Korean Mathematical Society.

Projectively flat Finsler space with an approximate Matsumoto metric

Hong-Suh Park, Il-Yong Lee, Ha-Yong Park and Byung-Doo Kim

, Kyungsung University, Kyungil University, Kyungil University

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|

Keywords: Finsler space, projectively flat, Matsumoto metric, approximate Matsumoto metric, homogeneous polynomials in $(y^i)$ of degree $r$

MSC numbers: 53B40