Classification of Levi degenerate homogeneous CR-manifolds in dimension 5

2006/10/11 by Gregor Fels, Fels, Gregor, Wilhelm Kaup +1 · 2 citations
Mathematics · #32M17 #32M25 #32V25 #Advanced Operator Algebra Research #Complex Variables (math.CV) #FOS: Mathematics #Geometric and Algebraic Topology #Holomorphic and Operator Theory #math.CV #msc:32M17 #msc:32M25 #msc:32V25

paper · pdf · doi:10.48550/arxiv.math/0610375

53 pages

arxiv created 2006/10/11 · openalex publication_date 2006/10/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we present new examples of homogeneous 2-nondegenerate CR-manifolds of dimension 5 and give, up to local CR-equivalence, a full classification of all CR-manifolds of this type.

Cited by

• On Homogeneous CR Manifolds of Arbitrary Order of Levi Nondegeneracy
• Pre-Kähler structures and finite-nondegeneracy

Related

• Homogeneous Levi degenerate CR-manifolds in dimension 5
• On Homogeneous CR Manifolds of Arbitrary Order of Levi Nondegeneracy
• The equivalence problem for 5-dimensional Levi degenerate CR manifolds
• Compact homogeneous CR manifolds
• Uniformly Levi degenerate CR manifolds; the 5 dimensional case