On the dimension of a group acting transitively on hypersurfaces in \(\mathbb{C}^3\)

DOI10.1007/BF02465145zbMath0946.32013OpenAlexW1999821576MaRDI QIDQ1966293

A. V. Loboda

Publication date: 8 October 2000

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02465145

zbMATH Keywords

automorphism grouphomogeneousCR-hypersurface

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Automorphism groups of (mathbb{C}^n) and affine manifolds (32M17)

Related Items

Submaximally symmetric CR-structures ⋮ Classification of homogeneous CR-manifolds in dimension 4 ⋮ Decomposable five-dimensional Lie algebras in the problem on holomorphic homogeneity in \(\mathbb{C}^3\) ⋮ On harmonic polynomials invariant under unitary transformations ⋮ Holomorphically homogeneous real hypersurfaces in $\mathbb {C}^3$

Cites Work

• Real hypersurfaces in complex manifolds
• On the Moser normal form at a non-umbilic point
• Deformations of strictly pseudoconvex domains
• Sur la géométrie pseudo-conforme des hypersurfaces de l'espace de deux variables complexes
• The classification of three-dimensional homogeneous complex manifold