Biholomorphic convex mappings of the ball in \(\mathbb{C}^ n\) (Q1318491)
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scientific article; zbMATH DE number 540667
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Biholomorphic convex mappings of the ball in \(\mathbb{C}^ n\) |
scientific article; zbMATH DE number 540667 |
Statements
Biholomorphic convex mappings of the ball in \(\mathbb{C}^ n\) (English)
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6 June 1994
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Biholomorphic convex mappings from the unit ball in \(\mathbb{C}^ n\) into \(\mathbb{C}^ n\) are studied in this paper. A Schwartz type lemma for the class of mappings and a necessary and sufficient condition under which a holomorphic mapping is biholomorphic and convex are established. The results are used to describe some characteristics of the image of the class of mappings.
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biholomorphic convex mappings
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second fundamental form
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principal curvature
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Schwartz type lemma
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