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This article is cited in 34 scientific papers (total in 34 papers)
Homogeneous strictly pseudoconvex hypersurfaces in $\mathbb C^3$ with two-dimensional isotropy groups
A. V. Loboda Voronezh State Academy of Building and Architecture
Abstract:
Strictly pseudoconvex non-spherical hypersurfaces in 3-dimensional complex space that are homogeneous with respect to local Lie groups of holomorphic transformations are studied. The author proved earlier that a Lie group $\operatorname{Aut}M$ acting transitively on such a manifold $M$ has dimension at most 7.
A complete list of homogeneous surfaces such that $\operatorname{Aut}M$ has dimension precisely 7 (and the corresponding isotropy subgroup has dimension precisely 2) is given. The main tools used in the paper are local normal equations describing the manifolds under consideration.
Received: 25.01.2001
Citation:
A. V. Loboda, “Homogeneous strictly pseudoconvex hypersurfaces in $\mathbb C^3$ with two-dimensional isotropy groups”, Mat. Sb., 192:12 (2001), 3–24; Sb. Math., 192:12 (2001), 1741–1761
Linking options:
https://www.mathnet.ru/eng/sm614https://doi.org/10.1070/SM2001v192n12ABEH000614 https://www.mathnet.ru/eng/sm/v192/i12/p3
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Abstract page: | 565 | Russian version PDF: | 282 | English version PDF: | 6 | References: | 40 | First page: | 1 |
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