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

Bankteshwar Tiwari; Ranadip Gangopadhyay; Ghanashyam Kr. Prajapati

doi:10.5666/KMJ.2019.59.2.353

Article

KYUNGPOOK Math. J. 2019; 59(2): 353-362

Published online June 23, 2019

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

Bankteshwar Tiwari and Ranadip Gangopadhyay^∗, Ghanashyam Kr. Prajapati

DST-CIMS, Institute of Science, Banaras Hindu University, Varanasi-221005, India
e-mail : banktesht@gmail.com and gangulyranadip@gmail.com

Loknayak Jai Prakash Institute of Technology, Chhapra-841302, India
e-mail : gspbhu@gmail.com

Received: July 17, 2017; Revised: November 6, 2018; Accepted: November 27, 2018

Abstract

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Abstract

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

Keywords: Finsler space, general (α,β)-metric, semi C-Reducible metrics, Ricci ﬂow equation.