Homogeneous Kobayashi-hyperbolic manifolds with automorphism group of subcritical dimension

Abstract

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

arXiv admin note: substantial text overlap with arXiv:1709.03052