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Izvestiya: Mathematics, 2014, Volume 78, Issue 6, Pages 1158–1194
DOI: https://doi.org/10.1070/IM2014v078n06ABEH002725 (Mi im8145) 		 
This article is cited in 9 scientific papers (total in 9 papers)

The Cartan equivalence problem for Levi-non-degenerate real hypersurfaces $M^3\subset\mathbb C^2$

J. Merkera, M. Sabzevarib

a Université Paris-Sud, Orsay cedex
b Shahrekord University, Iran
English version PDF (495 kB) Citations (9)
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DOI: https://doi.org/10.1070/IM2014v078n06ABEH002725
Abstract: We develop the Cartan equivalence problem for Levi-non-degenerate $\mathcal C^6$-smooth real hypersurfaces $M^3$ in $\mathbb C^2$ in great detail, performing all computations effectively in terms of local graphing functions. In particular, we present explicitly the unique (complex) essential invariant $\mathfrak{J}$ of the problem. Comparison with our previous joint results [1] shows that the Cartan–Tanaka geometry of these real hypersurfaces perfectly matches their biholomorphic equivalence.
Keywords: CR-manifolds, Levi non-degeneracy, essential torsions, $G$-structures, curvature tensor.
Funding agency Grant number
School of Mathematics, Institute for Research in Fundamental Sciences 91530040
Received: 05.07.2013
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2014, Volume 78, Issue 6, Pages 103–140
DOI: https://doi.org/10.4213/im8145
Bibliographic databases:
Document Type: Article
UDC: 514.76
MSC: 32V40, 53C10
Language: English
Original paper language: Russian
Citation: J. Merker, M. Sabzevari, “The Cartan equivalence problem for Levi-non-degenerate real hypersurfaces $M^3\subset\mathbb C^2$”, Izv. RAN. Ser. Mat., 78:6 (2014), 103–140; Izv. Math., 78:6 (2014), 1158–1194
Citation in format AMSBIB
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\paper The Cartan equivalence problem for Levi-non-degenerate real hypersurfaces $M^3\subset\mathbb C^2$
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  • https://www.mathnet.ru/eng/im/v78/i6/p103
    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Russian version PDF:171
    English version PDF:13
    References:42
    First page:8
     
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