Compactness of certain families of pseudo-holomorphic mappings into C-n
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- Title
- Compactness of certain families of pseudo-holomorphic mappings into C-n
- Authors
- Gaussier, H; Kim, KT
- Date Issued
- 2004-02
- Publisher
- WORLD SCIENTIFIC PUBL CO PTE LTD
- Abstract
- We present a normal family theorem for injective almost holomorphic maps from a manifold with almost complex structures into C-n. Our theorem implies a new consequence even for the holomorphic mappings of a complex manifold into C-n, which can be seen as a generalization of the convergence theorem for Frankel's scaling sequence whose images are not necessarily convex. Moreover, our method is closer in spirit to the circle of ideas centered around the classical Montel theorem.
- Keywords
- almost complex manifolds; pseudo-holomorphic maps; normal families; Kobayashi hyperbolicity; MANIFOLDS; COMPLEX
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/29750
- DOI
- 10.1142/S0129167X04002168
- ISSN
- 0129-167X
- Article Type
- Article
- Citation
- INTERNATIONAL JOURNAL OF MATHEMATICS, vol. 15, no. 1, page. 1 - 12, 2004-02
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