Brief communications

Absolute continuity of quasiconformal map of Carnot–Carathéodory spaces

M. V. Tryamkin

Chair of Higher Mathematics, Novosibirsk State University, Novosibirsk, Russia

Abstract: We show that a quasiconformal mapping of Carnot–Carathéodory spaces is absolutely continuous not only on integral curves of horizontal vector fields but also on integral curves of vector fields whose degree differs from one.

Keywords: Carnot–Carathéodory space, quasiconformal mapping, absolute continuity.

UDC: 517.18

Presented by the member of Editorial Board: S. K. Vodopyanov
Received: 23.12.2012

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2013, 57:5, 54–57