Tohoku Mathematical Journal
2010

December
SECOND SERIES VOL. 62, NO. 4

Tohoku Math. J.
62 (2010), 485-507

Title A GROUP-THEORETIC CHARACTERIZATION OF THE DIRECT PRODUCT OF A BALL AND PUNCTURED PLANES

Author Jisoo Byun, Akio Kodama and Satoru Shimizu

(Received March 18, 2009)
Abstract. Employing the same technique as in our previous papers, we establish an intrinsic characterization of the direct product of a complex Euclidean ball and punctured planes in the category of Stein manifolds from the viewpoint of holomorphic automorphism group.

2000 Mathematics Subject Classification. Primary 32M05; Secondary 32Q28.

Key words and phrases. Holomorphic automorphism groups, Holomorphic equivalences.

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