Homogeneous Kobayashi-hyperbolic manifolds with automorphism group of subcritical dimension

Alexander Isaev

doi:10.1080/17476933.2017.1403430

Homogeneous Kobayashi-hyperbolic manifolds with automorphism group of subcritical dimension

Alexander Isaev^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	1752-1766
Number of pages	15
Journal	Complex Variables and Elliptic Equations
Volume	63
Issue number	12
DOIs	https://doi.org/10.1080/17476933.2017.1403430
Publication status	Published - 2 Dec 2018

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10.1080/17476933.2017.1403430

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title = "Homogeneous Kobayashi-hyperbolic manifolds with automorphism group of subcritical dimension",

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.",

keywords = "32M05, 32M10, 32Q45, Kobayashi-hyperbolic manifolds, homogeneous complex manifolds, the group of holomorphic automorphisms",

author = "Alexander Isaev",

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AU - Isaev, Alexander

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AB - 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.

KW - 32M05

KW - 32M10

KW - 32Q45

KW - Kobayashi-hyperbolic manifolds

KW - homogeneous complex manifolds

KW - the group of holomorphic automorphisms

UR - https://www.scopus.com/pages/publications/85036565929

U2 - 10.1080/17476933.2017.1403430

DO - 10.1080/17476933.2017.1403430

M3 - Article

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JO - Complex Variables and Elliptic Equations

JF - Complex Variables and Elliptic Equations

IS - 12

ER -

Homogeneous Kobayashi-hyperbolic manifolds with automorphism group of subcritical dimension

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