Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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A CHARACTERIZATION OF Ck×(C*)ℓ FROM THE VIEWPOINT OF BIHOLOMORPHIC AUTOMORPHISM GROUPS

  • Published : 2003.05.06
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Abstract

We show that if a connected Stein manifold M of dimension n has the holomorphic automorphism group Aut(M) isomorphic to $Aut(C^k {\times}(C^*)^{n - k})$ as topological groups, then M itself is biholomorphically equivalent to C^k{\times}(C^*)^{n - k}$. Besides, a new approach to the study of U(n)-actions on complex manifolds of dimension n is given.

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References

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