Further Steps Towards Classifying Homogeneous Kobayashi-Hyperbolic Manifolds with High-Dimensional Automorphism Group

Abstract

We determine all connected homogeneous Kobayashi-hyperbolic manifolds of dimension n ≥ 4 whose group of holomorphic automorphisms has dimension either n2 − 4, or n2−5, or n2−6. This paper continues a series of articles that achieve classifications for automorphism group dimension n2 − 3 and greater. Show more