Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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CONFORMAL TRANSFORMATION OF LOCALLY DUALLY FLAT FINSLER METRICS

  • Received : 2018.03.30
  • Accepted : 2018.08.13
  • Published : 2019.03.31
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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.

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References

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