Conformal Transformations on General (alpha,beta)-Spaces

In this paper, we study conformal transformations between two almost regular general (alpha,beta)-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 (alpha,beta)-metrics is proved.

Automated summary

This paper investigates conformal transformations between two almost regular general (alpha,beta)-metrics. The necessary and sufficient conditions for conformal transformations preserving the mean Landsberg curvature are obtained by using the method of special coordinate system. Furthermore, a rigidity theorem for regular general (alpha,beta)-metrics is proved.