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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 5, Pages 64–68 (Mi ivm8799)  
Brief communications

Absolute continuity of quasiconformal map of Carnot–Carathéodory spaces

M. V. Tryamkin

Chair of Higher Mathematics, Novosibirsk State University, Novosibirsk, Russia
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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.
Presented by the member of Editorial Board: S. K. Vodopyanov
Received: 23.12.2012
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 57, Issue 5, Pages 54–57
https://link.springer.com/article/10.3103/S1066369X13050071
Document Type: Article
UDC: 517.18
Language: Russian
Citation: M. V. Tryamkin, “Absolute continuity of quasiconformal map of Carnot–Carathéodory spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 5, 64–68; Russian Math. (Iz. VUZ), 57:5 (2013), 54–57
Citation in format AMSBIB
\Bibitem{Try13}
\by M.~V.~Tryamkin
\paper Absolute continuity of quasiconformal map of Carnot--Carath\'eodory spaces
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 5
\pages 64--68
\mathnet{http://mi.mathnet.ru/ivm8799}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 5
\pages 54--57
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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