Further Steps Towards Classifying Homogeneous Kobayashi-Hyperbolic Manifolds with High-Dimensional Automorphism Group

Alexander Isaev

doi:10.1007/s12220-019-00227-x

Further Steps Towards Classifying Homogeneous Kobayashi-Hyperbolic Manifolds with High-Dimensional Automorphism Group

Alexander Isaev^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We determine all connected homogeneous Kobayashi-hyperbolic manifolds of dimension n≥ 4 whose group of holomorphic automorphisms has dimension either n²- 4 , or n²- 5 , or n²- 6. This paper continues a series of articles that achieve classifications for automorphism group dimension n²- 3 and greater.

Original language	English
Pages (from-to)	1174-1203
Number of pages	30
Journal	Journal of Geometric Analysis
Volume	30
Issue number	2
DOIs	https://doi.org/10.1007/s12220-019-00227-x
Publication status	Published - 1 Apr 2020

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title = "Further Steps Towards Classifying Homogeneous Kobayashi-Hyperbolic Manifolds with High-Dimensional Automorphism Group",

abstract = "We determine all connected homogeneous Kobayashi-hyperbolic manifolds of dimension n≥ 4 whose group of holomorphic automorphisms has dimension either n2- 4 , or n2- 5 , or n2- 6. This paper continues a series of articles that achieve classifications for automorphism group dimension n2- 3 and greater.",

keywords = "Homogeneous complex manifolds, Kobayashi-hyperbolic manifolds, The group of holomorphic automorphisms",

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year = "2020",

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N2 - We determine all connected homogeneous Kobayashi-hyperbolic manifolds of dimension n≥ 4 whose group of holomorphic automorphisms has dimension either n2- 4 , or n2- 5 , or n2- 6. This paper continues a series of articles that achieve classifications for automorphism group dimension n2- 3 and greater.

AB - We determine all connected homogeneous Kobayashi-hyperbolic manifolds of dimension n≥ 4 whose group of holomorphic automorphisms has dimension either n2- 4 , or n2- 5 , or n2- 6. This paper continues a series of articles that achieve classifications for automorphism group dimension n2- 3 and greater.

KW - Homogeneous complex manifolds

KW - Kobayashi-hyperbolic manifolds

KW - The group of holomorphic automorphisms

UR - https://www.scopus.com/pages/publications/85068194133

U2 - 10.1007/s12220-019-00227-x

DO - 10.1007/s12220-019-00227-x

M3 - Article

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JO - Journal of Geometric Analysis

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ER -

Further Steps Towards Classifying Homogeneous Kobayashi-Hyperbolic Manifolds with High-Dimensional Automorphism Group

Abstract

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