2016/08/27 by Yang, Guojun
#53B40 #Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.1608.07667
In this paper, we first give two fundamental principles under a technique to characterize conformal vector fields of (α,β) 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 (α,β) spaces under certain curvature conditions. Besides, we construct a family of non-homothetic conformal vector fields on a family of locally projectively Randers spaces.