Hyperbolic manifolds of dimension $n$ with automorphism group of dimension $n^2-1$

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/94752We consider complex Kobayashi-hyperbolic manifolds of dimension $n\ge 2$ for which the dimension of the group of holomorphic automorphisms is equal to $n^2-1$. We give a complete classification of such manifolds for $n\ge 3$ and discuss several examples for $n=2$.Final version, to appear in the J. Geometric Analysis, 29 pagesComplex VariablesDifferential Geometry32Q45; 32M05; 32M10Hyperbolic manifolds of dimension $n$ with automorphism group of dimension $n^2-1$text