On Finsler spaces with unified main scalar L2C=β

Abstract

The purpose of present paper is to study the T-tensor of such a Finsler space with the condition L2(α,β)C=β, where α=sqrt(aij(x)yiyj) and β=biyi and get some important theorems. We shall also obtain the condition for such a Finsler space to be a Landsberg space or Berwald space. The notations and terminologies are referred to the monograph [M. Matsumoto, Foundations of Finsler geometry and special Finsler spaces, Kaiseisha Press, 1986].

Keywords

• Finsler space
• T-tensor
• unified scalar
• L2C=β