[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2003.40.4.649

PROJECTIVELY FLAT FINSLER SPACES WITH CERTAIN (α, β)-METRICS

Park, Hong-Suh (Emeritus Professor of Yeungnam University)
Park, Ha-Yong (Department of Mathematics, Kyungil University)
Kim, Byung-Doo (Department of Mathematics, Kyungil University)
Choi, Eun-Seo (Department of Mathematics, Yeungnam University)

Publication Information

Bulletin of the Korean Mathematical Society / v.40, no.4, 2003 , pp. 649-661 More about this Journal

Abstract

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;

Citations & Related Records

Reference

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