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Journal of Lie Theory 18 (2008), No. 1, 141--160 Copyright Heldermann Verlag 2008 Complex Manifolds Admitting Proper Actions of High-Dimensional Groups Alexander Isaev Dept. of Mathematics, Australian National University, Canberra, ACT 0200, Australia alexander.isaev@maths.anu.edu.au [Abstract-pdf] We explicitly classify all pairs $(M,G)$, where $M$ is a connected complex manifold of dimension $n\ge 2$ and $G$ is a connected Lie group acting properly and effectively on $M$ by holomorphic transformations and having dimension $d_G$ satisfying $n^2+2\le d_G Keywords: Proper group actions, complex manifolds. MSC: 53C30, 32M10, 32Q57. [ Fulltext-pdf (262 KB)] for subscribers only. |