[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2003.40.3.563

A CHARACTERIZATION OF C^k×(C*)^ℓ FROM THE VIEWPOINT OF BIHOLOMORPHIC AUTOMORPHISM GROUPS

Kodama, Akio (Department of Mathematics Faculty of Science)
Shimizu, Satoru (Mathematical Institute Tohoku University)

Publication Information

Journal of the Korean Mathematical Society / v.40, no.3, 2003 , pp. 563-575 More about this Journal

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.

Keywords

holomorphic automorphism groups; holomorphic equivalences; torus actions;

Citations & Related Records

Times Cited By Web Of Science : 0 (Related Records In Web of Science)
Times Cited By SCOPUS : 0

Reference

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KSCI

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

A CHARACTERIZATION OF C^k×(C*)^ℓ FROM THE VIEWPOINT OF BIHOLOMORPHIC AUTOMORPHISM GROUPS