A note on the Yamabe problem of Randers metrics

نویسندگان
Chen, Bin ID 1
Liu, Siwei ID 2

1 School of Mathematical Sciences, Tongji University, Shanghai, China, 200092

2 School of Mathematical Sciences, Tongji University, Shanghai, China, 200092

doi
10.22060/ajmc.2021.20199.1056
چکیده

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.

کلیدواژه‌ها
Randers metrics, C$$-convex, Yamabe problem