Lie algebras of infinitesimal automorphisms for the model manifolds of general classes \sf II, \sf III₂ and \sf IV₂

2014/04/22 by Samuel Pocchiola, Pocchiola, Samuel
Mathematics · #Complex Variables (math.CV) #FOS: Mathematics #math.CV

paper · pdf · doi:10.48550/arxiv.1404.5674

44 pages. arXiv admin note: text overlap with arXiv:1312.6400

arxiv created 2014/05/05 · arxiv updated 2014/05/06

Abstract

We determine the Lie algebras of infinitesimal automorphisms for the models of the CR-manifolds belonging to general classes \sf II, \sf III₂ and \sf IV₂ through Cartan's equivalence method.

Citations

• Explicit absolute parallelism for 2-nondegenerate real hypersurfaces M⁵ ⊂ ℂ³ of constant Levi rank 1

Related

• Characterization of real-analytic infinitesimal CR automorphisms for a class of hypersurfaces in \Bbb C⁴.
• Totally nondegenerate models and standard manifolds in CR dimension one
• Applications of differential algebra for computing Lie algebras of infinitesimal CR-automorphisms
• On equivalence problem for 2--nondegenerate CR geometries with simple\n models
• Canonical isomorphism of two Lie algebras arising in CR-geometry