On projective complex Randers changes

Abstract

In this paper, we study the relation between complex Randers changes and projective changes of complex Finsler metrics. We consider complex Randers changes of a generalized Berwald complex Finsler metric and we determine the necessary and sufficient conditions for the generalized Berwald property to be preserved by these changes. Using this theory, a recursive sequence of projectively related complex Berwald metrics is pointed out.