Title of article :
A note on the Yamabe problem of Randers metrics
Author/Authors :
Chen, Bin School of Mathematical Sciences - Tongji University - Shanghai, China , Liu, Siwei School of Mathematical Sciences - Tongji University - Shanghai, China
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
Journal title :
AUT Journal of Mathematics and Computing
