A note on the Yamabe problem of Randers metrics

Abstract

The classical Yamabe problem in Riemannian geometry states that every conformal class contains a metric with constant scalar curvature. In Finsler geometry, the C-convexity is needed in general. In this paper, we study the strong C-convexity of Randers metrics, and provide a result on the Yamabe problem for the metrics of Randers type.

Keywords

• randers metrics
• c-convex
• yamabe problem