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The morphism property of subelliptic equations on the roto-translation group

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Abstract

We establish the morphism property of subelliptic equations for mappings with bounded distortion whose domain lies in the roto-translation group and whose range is the Heisenberg group. This implies that every nonconstant locally bounded mapping with bounded distortion whose domain and range lie in the roto-translation group is continuous, open, and discrete.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    M. V. Tryamkin

  2. Novosibirsk State University, Novosibirsk, Russia

    M. V. Tryamkin

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  1. M. V. Tryamkin
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Correspondence to M. V. Tryamkin.

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Original Russian Text Copyright © 2015 Tryamkin M.V.

Novosibirsk. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 56, No. 5, pp. 1171–1194, September–October, 2015; DOI: 10.17377/smzh.2015.56.516

The author was partially supported by the Government of the Russian Federation (Grant 14.B25.31.0029).

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Tryamkin, M.V. The morphism property of subelliptic equations on the roto-translation group. Sib Math J 56, 936–954 (2015). https://doi.org/10.1134/S003744661505016X

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  • DOI: https://doi.org/10.1134/S003744661505016X

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