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Bull. Korean Math. Soc. 2003; 40(4): 649-661

Printed December 1, 2003

Copyright © The Korean Mathematical Society.

Projectively flat Finsler spaces with certain $(\alpha, \beta)$-metrics

Hong-Suh Park, Ha-Yong Park, Byung-Doo Kim, and Eun-Seo Choi

Yeungnam University, Kyungil University, Kyungil University, Yeungnam University

Abstract

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The $(\alpha ,\beta )$-metric is a Finsler metric which is constructed from a Riemannian metric $\alpha $ and a differential 1-form $\beta .$ In this paper, we discuss the projective flatness of Finsler spaces with certain $(\alpha ,\beta )$-metrics ([5]) in a locally Minkowski space.

Keywords: Finsler space, $(\alpha ,\beta )$-metric, projectively flat, locally Minkowski space, flat-parallel, associated Riemannian space

MSC numbers: 53B40

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