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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 2022 Volume 213, Number 11, Pages 25–30 (Mi sm9744)

Conformality in the sense of Gromov and holomorphy

V. A. Zorich

Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia

Abstract: We consider a mapping $w=f(z_1, \dots,z_n) $ that is conformal in the sense of Gromov and indicate a criterion for it to be holomorphic.
Bibliography: 5 titles.

Keywords: holomorphic function, conformality of a mapping in the sense of Gromov.

MSC: Primary 30C35; Secondary 32H02

Received: 02.03.2022 and 15.08.2022

DOI: 10.4213/sm9744


 English version:
Sbornik: Mathematics, 2022, 213:11, 1507–1511

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© Steklov Math. Inst. of RAS, 2026