Homogeneous Kobayashi-hyperbolic manifolds with automorphism group of subcritical dimension

2017/09/15 by Alexander Isaev, Isaev, Alexander · 1 citation
Mathematics · #32M05 #32M10 #32Q45 #Advanced Algebra and Geometry #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #math.CV #math.DG #msc:32M05 #msc:32M10 #msc:32Q45

paper · pdf · doi:10.48550/arxiv.1709.07048

arXiv admin note: substantial text overlap with arXiv:1709.03052

arxiv created 2017/09/15 · openalex publication_date 2017/09/15 · arxiv updated 2017/09/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We determine all connected homogeneous Kobayashi-hyperbolic manifolds of dimension n≥ 2 whose holomorphic automorphism group has dimension n²-3. This result complements existing classifications for automorphism group dimension n²-2 (which is in some sense critical) and greater.

Citations

• Homogeneous Kobayashi-hyperbolic manifolds with high-dimensional group of holomorphic automorphisms

Cited by

• Further steps towards classifying homogeneous Kobayashi-hyperbolic manifolds with high-dimensional automorphism group

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