Abstract :
In this paper, a newnotion of scalar curvature for a Finslermetric F is introduced, and two
conformal invariants Y(M, F) and C(M, F) are deûned. We prove that there exists a Finslermetric
with constant scalar curvature in the conformal class of F if the Cartan torsion of F is suõciently
small and Y(M, F)C(M, F) < Y(Sn) where Y(Sn) is the Yamabe constant of the standard sphere.
