Transactions of the American Mathematical Society

Author(s): Oliver Roth
Journal: Trans. Amer. Math. Soc. 359 (2007), 2501-2529.
MSC (2000): Primary 30A99; Secondary 30F45
Posted: January 4, 2007
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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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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 30A99, 30F45

Oliver Roth
Affiliation: Mathematisches Institut, Universität Würzburg, D--97074 Würzburg, Germany
Email: roth@mathematik.uni-wuerzburg.de

DOI: 10.1090/S0002-9947-07-03942-6
PII: S 0002-9947(07)03942-6
Received by editor(s): January 20, 2005
Posted: January 4, 2007
Copyright of article: Copyright 2007, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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