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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 2, Pages 396–417 (Mi smj2314)  
This article is cited in 1 scientific paper (total in 1 paper)

The Beltrami equations for quasiconformal mappings on strongly pseudoconvex hypersurfaces

Q. Y. Wuab, W. Wanga

a Department of Mathematics, Zhejiang University, Zhejiang, P. R. China
b Department of Mathematics, Linyi University, Shandong, P. R. China
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Abstract: We show that quasiconformal mappings on strongly pseudoconvex hypersurfaces satisfy a system of Beltrami equations. In particular, the 1-quasiconformal mappings on these surfaces are CR or anti-CR mappings. Furthermore, if these surfaces are also real-analytic and nonspherical, then 1-quasiconformal mappings on them, which fix a point, can be linearized.
Keywords: quasiconformal mapping, strongly pseudoconvex hypersurface, Beltrami equation, CR mapping.
Received: 06.08.2009
Revised: 30.10.2011
English version:
Siberian Mathematical Journal, 2012, Volume 53, Issue 2, Pages 316–334
DOI: https://doi.org/10.1134/S0037446612020140
Bibliographic databases:
Document Type: Article
UDC: 517.548.2
Language: Russian
Citation: Q. Y. Wu, W. Wang, “The Beltrami equations for quasiconformal mappings on strongly pseudoconvex hypersurfaces”, Sibirsk. Mat. Zh., 53:2 (2012), 396–417; Siberian Math. J., 53:2 (2012), 316–334
Citation in format AMSBIB
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\paper The Beltrami equations for quasiconformal mappings on strongly pseudoconvex hypersurfaces
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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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