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Holomorphically embedded discs with rapidly growing area
Published online by Cambridge University Press: 14 November 2011
Abstract
It is shown that if V is a closed submanifold of the open unit ball of ℂ2 biholomorphically equivalent to a disc, then the area of V ∩ r
can grow arbitrarily rapidly as r ↗ 1. It is also shown that if V is a closed submanifold of ℂ2 biholomorphically equivalent to a disc, then the area of V ∩ r
can grow arbitrarily rapidly as r ↗ ∞.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 129 , Issue 2 , 1999 , pp. 343 - 349
- Copyright
- Copyright © Royal Society of Edinburgh 1999