  Because of all the known integrable models possess Schwarzian forms with
M\"obious transformation invariance, it may be one of the best way to find new
integrable models starting from some suitable M\"obious transformation
invariant equations. In this paper, the truncated Painlev\'e analysis is used
to find high dimensional Schwarzian derivatives. Especially, a three
dimensional Schwarzian derivative is obtained explicitly. The higher
dimensional higher order Schwarzian derivatives which are invariant under the
M\"obious transformations may be expressed by means of the lower dimensional
lower order ones. All the known Schwarzian derivatives can be used to construct
high dimensional Painlev\'e integrable models.
