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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 5, Pages 1171–1194
DOI: https://doi.org/10.17377/smzh.2015.56.516 (Mi smj2706) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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

M. V. Tryamkinab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/smzh.2015.56.516
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.
Keywords: roto-translation group, mapping with bounded distortion, horizontal differential form, coarea formula, change-of-variable formula.
Received: 19.12.2013
Revised: 01.06.2015
English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 5, Pages 936–954
DOI: https://doi.org/10.1134/S003744661505016X
Bibliographic databases:
Document Type: Article
UDC: 517.54+517.518.17
Language: Russian
Citation: M. V. Tryamkin, “The morphism property of subelliptic equations on the roto-translation group”, Sibirsk. Mat. Zh., 56:5 (2015), 1171–1194; Siberian Math. J., 56:5 (2015), 936–954
Citation in format AMSBIB
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\vol 56
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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