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Proper actions of high-dimensional groups on complex manifolds

Isaev, Alexander


We explicitly classify all pairs (M, G), where M is a connected complex manifold of dimension n≥2 and G is a connected Lie group acting properly and effectively on M by holomorphic transformations and having dimension dG satisfying n²+2≤dG<n²+2n. These results extend—in the complex case—the classical description of manifolds admitting proper actions of groups of sufficiently high dimensions. They also generalize some of the author’s earlier work on Kobayashi-hyperbolic manifolds with...[Show more]

CollectionsANU Research Publications
Date published: 2007-12
Type: Journal article
Source: Journal of Geometric Analysis
DOI: 10.1007/BF02937432


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