On weakly Berwald space with a special cubic (α,β)-metric

Abstract

In 1997, S. Basco and M. Matsumoto introduced the concepts of Douglas spaces with a generalization of the notion of Berwald spaces. Weakly-Berwald space is one of the generalizations of Berwald spaces. In the present paper, we considered a cubic (α,β)-metric which is a special class of p-power Finsler metric and obtained the conditions under which the Finsler space with such special metric will be a Weakly-Berwald space.

Keywords

• finsler space
• (α;β)-metric
• weakly berwald space
• berwald space
• cubic (α;β)-metric