Further steps towards classifying homogeneous Kobayashi-hyperbolic manifolds with high-dimensional automorphism group

Alexander Isaev

Further steps towards classifying homogeneous Kobayashi-hyperbolic manifolds with high-dimensional automorphism group

Differential Geometry 2018-05-17 v1 Complex Variables

Authors: Alexander Isaev

Abstract

We determine all connected homogeneous Kobayashi-hyperbolic manifolds of dimension $n\ge 4$ whose group of holomorphic automorphisms has dimension either $n^2-4$ , or $n^2-5$ , or $n^2-6$ . This paper continues a series of articles that achieve classifications for automorphism group dimension $n^2-3$ and greater.

Keywords

homogeneous Kobayashi-hyperbolic manifolds holomorphic automorphism group dimension classification complex geometry connected manifolds

Cite

@article{arxiv.1805.03065,
  title  = {Further steps towards classifying homogeneous Kobayashi-hyperbolic manifolds with high-dimensional automorphism group},
  author = {Alexander Isaev},
  journal= {arXiv preprint arXiv:1805.03065},
  year   = {2018}
}

Comments

arXiv admin note: text overlap with arXiv:1709.03052, arXiv:1709.07048

Further steps towards classifying homogeneous Kobayashi-hyperbolic manifolds with high-dimensional automorphism group

Abstract

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