# On Semi C-Reducibility of General (α, β) Finsler Metrics

Tiwari, Bankteshwar;Gangopadhyay, Ranadip;Prajapati, Ghanashyam Kr.

• Received : 2017.07.17
• Accepted : 2018.11.27
• Published : 2019.06.23
• 5 2

#### 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.

#### Keywords

Finsler space;general (${\alpha}$, ${\beta}$)-metric;semi C-Reducible metrics;Ricci flow equation