Conformal Vector Fields of a Class of Finsler Spaces II

Abstract

In this paper, we first give two fundamental principles under a technique to characterize conformal vector fields of $(\alpha ,\beta )$ spaces to be homothetic and determine the local structure of those homothetic fields. Then we use the principles to study conformal vector fields of some classes of $(\alpha ,\beta )$ spaces under certain curvature conditions. Besides, we construct a family of non-homothetic conformal vector fields on a family of locally projectively Randers spaces.

15 pages