HOMOGENEOUS KOBAYASHI-HYPERBOLIC MANIFOLDS WITH HIGH-DIMENSIONAL GROUP OF HOLOMORPHIC AUTOMORPHISMS

Isaev, Alexander

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HOMOGENEOUS KOBAYASHI-HYPERBOLIC MANIFOLDS WITH HIGH-DIMENSIONAL GROUP OF HOLOMORPHIC AUTOMORPHISMS

Date

2019

Authors

Isaev, Alexander

Publisher

International Press

Abstract

We determine all connected homogeneous Kobayashi-hyperbolic manifolds of dimension n≥2 whose holomorphic automorphism group has dimension n2−2. This result complements an existing classification for automorphism group dimension n2−1 and greater obtained without the homogeneity assumption.