Abstract:
M. Gromov extended the notion of conformal mapping, making it applicable for mappings of spaces of different dimensions. For example, any entire holomorphic function $f\colon{\mathbb C}^n \to {\mathbb C}$ defines a mapping conformal in the sense of Gromov. We will recall the required definition and note that not every conformal mapping in the sense of Gromov is a holomorphic one. We will give a criterion for its holomorphicity and discuss some related new concepts and facts.