Hyperbolic manifolds of dimension $n$ with automorphism group of dimension $n^2-1$
Abstract
Description
We 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 pages
Final version, to appear in the J. Geometric Analysis, 29 pages