✦ LIBER ✦
A boundary version of Ahlfors’ Lemma, locally complete conformal metrics and conformally invariant reflection principles for analytic maps
✍ Scribed by Daniela Kraus; Oliver Roth; Stephan Ruscheweyh
- Book ID
- 107526819
- Publisher
- Springer-Verlag
- Year
- 2007
- Tongue
- English
- Weight
- 295 KB
- Volume
- 101
- Category
- Article
- ISSN
- 0021-7670
No coin nor oath required. For personal study only.
✦ Synopsis
A boundary version of Ahlfors' Lemma is established and used to show that the classical Schwarz-Carathéodory reflection principle for holomorphic functions has a purely conformal geometric formulation in terms of Riemannian metrics. This conformally invariant reflection principle generalizes naturally to analytic maps between Riemann surfaces and contains among other results a characterization of finite Blaschke products due to M. Heins.