@article{oai:kanazawa-u.repo.nii.ac.jp:00011055,
 author = {児玉, 秋雄 and Kodama, Akio and Shimizu, Satoru},
 issue = {3},
 journal = {Journal of the Mathematical Society of Japan},
 month = {Jul},
 note = {In this paper, we prove that the holomorphic automorphism groups of the spaces Ck × (C*)n-k and (Ck - {0}) × (C*)n-k are not isomorphic as topological groups. By making use of this fact, we establish the following characterization of the space Ck × (C*)n-k: Let M be a connected complex manifold of dimension n that is holomorphically separable and admits a smooth envelope of holomorphy. Assume that the holomorphic automorphism group of M is isomorphic to the holomorphic automorphism group of Ck × (C*)n-k as topological groups. Then M itself is biholomorphically equivalent to Ck × (C*)n-k. This was first proved by us in [5] under the stronger assumption that M is a Stein manifold.全文公開200907, 金沢大学理工研究域数物科学系},
 pages = {643--663},
 title = {A group-theoretic characterization of the space obtained by omitting the coordinate hyperplanes from the complex Euclidean space, II},
 volume = {58},
 year = {2006}
}