Hyperbolic manifolds of dimensionn with automorphism group of dimensionn 2 - 1

A. V. Isaev

doi:10.1007/BF02922195

Hyperbolic manifolds of dimensionn with automorphism group of dimensionn ² - 1

A. V. Isaev^*

^*Corresponding author for this work

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

19 Citations (Scopus)

Abstract

We consider complex Kobayashi-hyperbolic manifolds of dimension n ≥ 2 for which the dimension of the group ofholomorphic automorphisms is equal to n ² - 1. We give a complete classification of such manifolds for n ≥ 3 and discuss several examples for n = 2.

Original language	English
Pages (from-to)	239-259
Number of pages	21
Journal	Journal of Geometric Analysis
Volume	15
Issue number	2
DOIs	https://doi.org/10.1007/BF02922195
Publication status	Published - 2005

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abstract = "We consider complex Kobayashi-hyperbolic manifolds of dimension n ≥ 2 for which the dimension of the group ofholomorphic automorphisms is equal to n 2 - 1. We give a complete classification of such manifolds for n ≥ 3 and discuss several examples for n = 2.",

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AB - We consider complex Kobayashi-hyperbolic manifolds of dimension n ≥ 2 for which the dimension of the group ofholomorphic automorphisms is equal to n 2 - 1. We give a complete classification of such manifolds for n ≥ 3 and discuss several examples for n = 2.

KW - Complex Kobayashi-hyperbolic manifolds

KW - holomorphic automorphism groups

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Hyperbolic manifolds of dimensionn with automorphism group of dimensionn ² - 1

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