Homogeneous surfaces in \(\mathbb{C}^4\) associated with a 5-dimensional completely nondegenerate cubic model surface of CR-type \((1,3)\)

DOI10.1134/S1061920820040020zbMath1464.32055OpenAlexW3117646069MaRDI QIDQ829049

Masoud Sabzevari, Valeriĭ K. Beloshapka

Publication date: 5 May 2021

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920820040020

zbMATH Keywords

infinitesimal holomorphic automorphismsmodel surface of CR-type \((1, 3)\) in \(\mathbb C^4\)

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40)

Uses Software

• LieAlg
• PLA-PFGLM.mpl

Cites Work

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• Cartan equivalence problem for 5-dimensional bracket-generating CR manifolds in \(\mathbb C^4\)
• Parametric FGLM algorithm
• Homogeneous hypersurfaces in \(\mathbb C^{3}\), associated with a model CR-cubic
• Space of orbits of the automorphism group of a model surface of type (1,2)
• Normal form and two-dimensional chains of an elliptic CR manifold in \(\mathbb{C}^4\)
• Holomorphic automorphisms of quadrics
• Canonical Cartan connections on maximally minimal generic submanifolds \(M^5\subset\mathbb{C}^4\)
• CR-manifolds of finite Bloom-Graham type: the model surface method
• Einige Bemerkungen über polynomiale Vektorfelder, Jordanalgebren und die Automorphismen von Siegelschen Gebieten. (Some remarks on polynomial vector fields)
• Lie algebras of infinitesimal CR automorphisms of weighted homogeneous and homogeneous CR-generic submanifolds of CN

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