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Homogeneous Kobayashi-hyperbolic manifolds with high-dimensional group of holomorphic automorphisms (1709.03052v1)
Published 10 Sep 2017 in math.CV and math.DG
Abstract: We determine all connected homogeneous Kobayashi-hyperbolic manifolds of dimension $n\ge 2$ whose holomorphic automorphism group has dimension $n2-2$. This result complements an existing classification for automorphism group dimension $n2-1$ and greater obtained without the homogeneity assumption.