Conformal Transformations on General (<i>α</i>,<i>β</i>)-Spaces

Abstract

In this paper, we study conformal transformations between two almost regular general (α,β)-metrics. By using the method of special coordinate system, the necessary and sufficient conditions for conformal transformations preserving the mean Landsberg curvature are obtained. Further, a rigidity theorem for regular general (α,β)-metrics is proved.

Keywords

• general (α,β)-spaces
• mean Landsberg curvature
• conformal transformations