A. V. Loboda, “On the Dimension of a Group Transitively Acting on a Hypersurface in $\mathbb{C}^3$”, Funktsional. Anal. i Prilozhen., 33:1 (1999), 68–71; Funct. Anal. Appl., 33:1 (1999), 58

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Funktsional'nyi Analiz i ego Prilozheniya, 1999, Volume 33, Issue 1, Pages 68–71
DOI: https://doi.org/10.4213/faa341 (Mi faa341)

This article is cited in 16 scientific papers (total in 16 papers)

Brief communications

On the Dimension of a Group Transitively Acting on a Hypersurface in

$\mathbb{C}^3$

A. V. Loboda

Voronezh State Academy of Building and Architecture

Full-text PDF (370 kB) Citations (16)

References:

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DOI: https://doi.org/10.4213/faa341

Received: 26.03.1997

English version:
Functional Analysis and Its Applications, 1999, Volume 33, Issue 1, Pages 58–60
DOI: https://doi.org/10.1007/BF02465145

Bibliographic databases:

Document Type: Article

UDC: 517.55

Language: Russian

Citation: A. V. Loboda, “On the Dimension of a Group Transitively Acting on a Hypersurface in

$\mathbb{C}^3$ ”, Funktsional. Anal. i Prilozhen., 33:1 (1999), 68–71; Funct. Anal. Appl., 33:1 (1999), 58–60

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/faa341

https://doi.org/10.4213/faa341

https://www.mathnet.ru/eng/faa/v33/i1/p68

This publication is cited in the following 16 articles:

A. V. Atanov, A. V. Loboda, “Decomposable Five-Dimensional Lie Algebras in the Problem on Holomorphic Homogeneity in ℂ3”, J Math Sci, 268:1 (2022), 84
A. V. Loboda, B. M. Darinskii, D. V. Kozoriz, “On Harmonic Polynomials Invariant under Unitary Transformations”, Math. Notes, 109:6 (2021), 896–908
A. V. Loboda, “Holomorphically homogeneous real hypersurfaces in $\mathbb{C}^3$ ”, Trans. Moscow Math. Soc., 81:2 (2020), 169–228
A. V. Atanov, A. V. Loboda, “Razlozhimye pyatimernye algebry Li v zadache o golomorfnoi odnorodnosti v $\mathbb{C}^3$ ”, Materialy Voronezhskoi zimnei matematicheskoi shkoly «Sovremennye metody teorii funktsii i smezhnye problemy». 28 yanvarya–2 fevralya 2019 g. Chast 4, Itogi nauki i tekhn. Sovrem. mat. i ee pril. Temat. obz., 173, VINITI RAN, M., 2019, 86–115
Kruglikov B., “Submaximally Symmetric CR-Structures”, J. Geom. Anal., 26:4 (2016), 3090–3097
A. V. Loboda, “O razmernostyakh grupp affinnykh preobrazovanii, tranzitivno deistvuyuschikh na veschestvennykh giperpoverkhnostyakh v $\Bbb C^3$ ”, Vestn. Volgogr. gos. un-ta. Ser. 1, Mat. Fiz., 2014, no. 4(23), 11–35
Beloshapka V.K., “Can a Stabilizer Be Eight-Dimensional?”, Russ. J. Math. Phys., 19:2 (2012), 135–145
Beloshapka V.K., Kossovskiy I.G., “Classification of homogeneous CR-manifolds in dimension 4”, J Math Anal Appl, 374:2 (2011), 655–672
Isaev, AV, “On Chern-Moser normal forms of strongly pseudoconvex hypersurfaces with high-dimensional stability group”, Pacific Journal of Mathematics, 235:2 (2008), 235
A. V. Loboda, “On a Family of Lie Algebras Related to Homogeneous Surfaces”, Proc. Steklov Inst. Math., 253 (2006), 100–114
A. V. Loboda, “Determination of a Homogeneous Strictly Pseudoconvex Surface from the Coefficients of Its Normal Equation”, Math. Notes, 73:3 (2003), 419–423
A. V. Loboda, A. S. Khodarev, “On a family of affine-homogeneous real hypersurfaces of a three-dimensional complex space”, Russian Math. (Iz. VUZ), 47:10 (2003), 35–47
Loboda, AV, “Three-dimensional real Lie subalgebras of the matrix algebra M (2, C)”, Russian Journal of Mathematical Physics, 10:4 (2003), 495
A. V. Loboda, “Homogeneous Nondegenerate Hypersurfaces in $\mathbb{C}^3$ with Two-Dimensional Isotropy Groups”, Funct. Anal. Appl., 36:2 (2002), 151–153
A. V. Loboda, “Homogeneous strictly pseudoconvex hypersurfaces in $\mathbb C^3$ with two-dimensional isotropy groups”, Sb. Math., 192:12 (2001), 1741–1761
A. V. Loboda, “Homogeneous Real Hypersurfaces in $\mathbb C^3$ with Two-Dimensional Isotropy Groups”, Proc. Steklov Inst. Math., 235 (2001), 107–135

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Functional Analysis and Its Applications

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