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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


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.

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