Аннотация:http://arxiv.org/abs/2108.00945
Abstract. M.Gromov extended the concepts of conformal and
quasiconformal mapping to the mappings acting between the manifolds
of different dimensions. For instance, any entire holomorphic
function f : Cn → C defines a mapping conformal in the sense of
Gromov. In this connection Gromov addressed a natural question:
which facts of the classical theory apply to these mappings? In
particular is it true that
If the mapping F : Rn+1 → Rn is conformal and bounded, then
it is a constant mapping, provided that n ≥ 2 ?
We present arguments confirming the validity of such a Liouvilletype
theorem.