Classification of homogeneous affine tube domains with large\n automorphism groups in arbitrary dimensions

2018/04/06 by Vladimir Ezhov, Alexandr Medvedev, Ezhov, Vladimir +4
Mathematics · #Algebraic and Geometric Analysis #Analytic and geometric function theory #Differential Geometry (math.DG) #FOS: Mathematics #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1804.02326

openalex publication_date 2018/04/06 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

We classify tube domains in mathbb Cⁿ⁺¹ (n\≥ 1) with affinely\nhomogeneous base of their boundary and a.) with positive definite Levi form and\nb.) with Lorentzian type Levi form and affine isotropy of dimension at least\n frac(n-2)(n-3)2.\n

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