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On the automorphism groups of hyperbolic manifolds

On the automorphism groups of hyperbolic manifolds

We show that there does not exist a Kobayashi hyperbolic complex manifold of dimension n = 3, whose group of holomorphic automorphisms has dimension n 2 + 1 and that, if a 3-dimensional connected hyperbolic complex manifold has automorphism group of dimension 10, then it is holomorphically equivalent to the …