[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.b180288

CONFORMAL TRANSFORMATION OF LOCALLY DUALLY FLAT FINSLER METRICS

Ghasemnezhad, Laya (Faculty of Science Urmia University)
Rezaei, Bahman (Faculty of Science Urmia University)

Publication Information

Bulletin of the Korean Mathematical Society / v.56, no.2, 2019 , pp. 407-418 More about this Journal

Abstract

In this paper, we study conformal transformations between special class of Finsler metrics named C-reducible metrics. This class includes Randers metrics in the form $F={\alpha}+{\beta}$ and Kropina metric in the form $F={\frac{{\alpha}^2}{\beta}}$ . We prove that every conformal transformation between locally dually flat Randers metrics must be homothetic and also every conformal transformation between locally dually flat Kropina metrics must be homothetic.

Keywords

conformal transformation; locally dually flat; Randers metric; Kropina metric; C-reducible metric;

Citations & Related Records

Reference

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