Homogeneous Kobayashi-hyperbolic manifolds with automorphism group of subcritical dimension

Alexander Isaev*

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    2 Citations (Scopus)

    Abstract

    We determine all connected homogeneous Kobayashi-hyperbolic manifolds of dimension n ≥ 2 whose holomorphic automorphism group has dimension n2 − 3. This result complements existing classifications for automorphism group dimension n2 − 2(which is in some sense critical) and greater.

    Original languageEnglish
    Pages (from-to)1752-1766
    Number of pages15
    JournalComplex Variables and Elliptic Equations
    Volume63
    Issue number12
    DOIs
    Publication statusPublished - 2 Dec 2018

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