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A new gap phenomenon for proper holomorphic mappings from B n to B
| Content Provider | CiteSeerX |
|---|---|
| Author | Huang, Xiaojun Ji, Shanyu Xu, Dekang |
| Abstract | Write Bn = {z ∈ Cn: z < 1} and Prop(Bn, BN) for the collection of all proper holomorphic mappings from Bn into BN. Recall that f and g ∈ Prop(Bn, BN) are said to be equivalent if there are automorphisms σ ∈ Aut(Bn) and τ ∈ Aut(BN) such that f = τ ◦ g ◦ σ. By a classical result of Poincaré and Alexander [A77], every proper holomorphic self-map of Bn with n ≥ 2 is equivalent to the identity map. |
| File Format | |
| Volume Number | 13 |
| Journal | School of Mathematics, Wuhan University, Hubei 430072, China; and Department of Mathematics, Rutgers University |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Proper Holomorphic Mapping New Gap Phenomenon Identity Map Proper Holomorphic Self-map Automorphisms Aut Classical Result Alexander A77 Write Bn Cn |
| Content Type | Text |
| Resource Type | Article |
