Absolute continuity of quasiconformal map of Carnot--Carath\'eodory spaces
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2013), pp. 64-68

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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.
@article{IVM_2013_5_a6,
     author = {M. V. Tryamkin},
     title = {Absolute continuity of quasiconformal map of {Carnot--Carath\'eodory} spaces},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {64--68},
     publisher = {mathdoc},
     number = {5},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2013_5_a6/}
}
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M. V. Tryamkin. Absolute continuity of quasiconformal map of Carnot--Carath\'eodory spaces. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 5 (2013), pp. 64-68. http://geodesic.mathdoc.fr/item/IVM_2013_5_a6/