On the definition of the Kobayashi-Buseman pseudometric
  We prove that the $(2n-1)$-th Kobayashi pseudometric of any domain $D\subset\Bbb C^n$ coincides with the Kobayashi--Buseman pseudometric of $D,$ and that $2n-1$ is the optimal number, in general. 
Nikolai Nikolov and Peter Pflug