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Sibirskii Matematicheskii Zhurnal, 2001, Volume 42, Number 6, Pages 1335–1339 (Mi smj1390)  
This article is cited in 14 scientific papers (total in 14 papers)

Each homotopically homogeneous tube in $C^2$ has an affine-homogeneous base

A. V. Loboda

Voronezh State Academy of Building and Architecture
Full-text PDF (153 kB) Citations (14)
Abstract: We study aspherical tube hypersurfaces of the two-dimensional complex space which satisfy the local homogeneity condition. We prove that the holomorphic homogeneity of such a surface in the analytic case is equivalent to its affine homogeneity. The proof bases on the properties of the holomorphic invariants of tube hypersurfaces which are constructed by means of the Moser normal form.
Received: 03.04.1995
English version:
Siberian Mathematical Journal, 2001, Volume 42, Issue 6, Pages 1111–1114
DOI: https://doi.org/10.1023/A:1012896627725
Bibliographic databases:
UDC: 517.55
Language: Russian
Citation: A. V. Loboda, “Each homotopically homogeneous tube in $C^2$ has an affine-homogeneous base”, Sibirsk. Mat. Zh., 42:6 (2001), 1335–1339; Siberian Math. J., 42:6 (2001), 1111–1114
Citation in format AMSBIB
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\paper Each homotopically homogeneous tube in $C^2$ has an affine-homogeneous base
\jour Sibirsk. Mat. Zh.
\yr 2001
\vol 42
\issue 6
\pages 1335--1339
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1876819}
\zmath{https://zbmath.org/?q=an:0987.32018}
\transl
\jour Siberian Math. J.
\yr 2001
\vol 42
\issue 6
\pages 1111--1114
\crossref{https://doi.org/10.1023/A:1012896627725}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000172981200009}
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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