Model \(CR\)-manifolds with one-dimensional complex tangent
type: Item
instance of: scholarly article
title: Model \(CR\)-manifolds with one-dimensional complex tangent
zbMATH Open document ID: 1180.32013
DOI: 10.1134/S1061920809010075
author: I. B. Mamai
published in: Russian Journal of Mathematical Physics
publication date: 2009-11-10T00:00:00Z
review text: The type of the Levi-Tanaka algebra for a completely nondegenerate model surface is the pair \((n,K)\), where \(n\) is the complex dimension of the complex tangent and \(K\) is the real codimension. The author studies the groups of holomorphic automorphisms of model surfaces of type \((1,8), (1,9),\dots , (1,12)\). Thus he obtains a complete investigation of automorphisms of the model surfaces with one-dimensional complex tangent whose Levi-Tanaka is of length not exceeding five. After obtaining the reduction of the equations, he studies the algebra of automorphisms and obtains the explicit form of the automorphism algebra \(aut\;Q\) of the model surfaces of type \((1,K)\) for \(8\leq K\leq 12\).
reviewed by: Vasile Oproiu
Mathematics Subject Classification ID: 32V40
Mathematics Subject Classification ID: 32M05
zbMATH DE Number: 5628059
zbMATH Keywords: real submanifolds of a complex space
zbMATH Keywords: holomorphic automorphisms
zbMATH Keywords: model surfaces
MaRDI profile type: Publication
cites work: Real hypersurfaces in complex manifolds
cites work: Real submanifolds in complex space: polynomial models, automorphisms, and classification problems
cites work: CR-varieties of the type \((1,2)\) as varieties of ``super-high'' codimension
cites work: Models of CR-manifolds of type \((\ell,K)\) for \(3\leq K\leq 7\) and their automorphisms
cites work: The envelope of holomorphy of a model third-degree surface and the rigidity phenomenon
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description: scientific article; zbMATH DE number 5628059