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

A. V. Isaev

paper

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

arXiv:math/0503471

Abstract

We consider complex Kobayashi-hyperbolic manifolds of dimension $n \geq 2$ 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 $n \geq 3$ and discuss several examples for $n = 2$ .

Final version, to appear in the J. Geometric Analysis, 29 pages

References in corpus (1)

Hyperbolic $n$ -dimensional manifolds with automorphism group of dimension $n^{2}$

Hyperbolic manifolds of dimension n with automorphism group of dimension n2−1

Abstract

References in corpus (1)

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