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

A. V. Isaev
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Abstract

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 $n=2$.

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A. V. Isaev. 2005-09-20. Hyperbolic manifolds of dimension $n$ with automorphism group of dimension $n^2-1$. https://arxiv.org/abs/math/0503471

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