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ISSN 1088-6850(e) ISSN 0002-9947(p)

A general conformal geometric reflection principle

Author(s): Oliver Roth
Journal: Trans. Amer. Math. Soc. 359 (2007), 2501-2529.
MSC (2000): Primary 30A99; Secondary 30F45
Posted: January 4, 2007
MathSciNet review: 2286042
Retrieve article in: PDF

Abstract | References | Similar articles | Additional information

Abstract: We prove a generalization of the Schwarz-Carathéodory reflec- tion principle for analytic maps from the unit disk into arbitrary Riemann surfaces equipped with a complete real analytic conformal Riemannian metric $\lambda(w) \, \vert dw\vert$ . This yields a necessary and sufficient condition for to have an analytic continuation in terms of the pullback of the metric $\lambda(w) \, \vert dw\vert$ under the map .

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