Kyungpook Mathematical Journal

Department of Mathematics, Kyungpook National University (경북대학교 자연과학대학 수학과)
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On Semi C-Reducibility of General (α, β) Finsler Metrics

  • Tiwari, Bankteshwar (DST-CIMS, Institute of Science, Banaras Hindu University) ;
  • Gangopadhyay, Ranadip (DST-CIMS, Institute of Science, Banaras Hindu University) ;
  • Prajapati, Ghanashyam Kr. (Loknayak Jai Prakash Institute of Technology)
  • Received : 2017.07.17
  • Accepted : 2018.11.27
  • Published : 2019.06.23
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Abstract

In this paper, we study general (${\alpha}$, ${\beta}$) Finsler metrics and prove that every general (${\alpha}$, ${\beta}$)-metric is semi C-reducible but not C2-like. As a consequence of this result we prove that every general (${\alpha}$, ${\beta}$)-metric satisfying the Ricci flow equation is Einstein.

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References

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