2024/05/14 by I. I. Zavolokin, Zavolokin, Ilya
Mathematics · Psychology · #32V40 #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Point processes and geometric inequalities #Psychological Testing and Assessment
paper · pdf · doi:10.48550/arxiv.2405.08338
openalex publication_date 2024/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we study holomorphically homogeneous model submanifolds CR-type (1, 3) complex space \mathbb C4. One finds moduli space of five-dimensional model surfaces Bloom-Graham type ((2, 1), (3, 1), (4, 1)). It is shown that there exists unique model surface of this type with property of holomorphical homogeneous, which is equivalent to tube surface \mathcal C with affin homogeneous base. One describes and classifies with respect to model surfaces the orbits relative to the group of holomorhical automorphisms of \mathcal C