Amirkabir University of TechnologyAUT Journal of Mathematics and Computing2783-24492220210901A note on the Yamabe problem of Randers metrics165170445810.22060/ajmc.2021.20199.1056ENBinChenSchool of Mathematical Sciences, Tongji University, Shanghai, China, 200092SiweiLiuSchool of Mathematical Sciences, Tongji University, Shanghai, China, 200092Journal Article20210623The 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.https://ajmc.aut.ac.ir/article_4458_5f7ad88986502e8781efbb3ce3e6f3de.pdf