By Kraus D.
A boundary model of Ahlfors' Lemma is proven and used to teach that the classical Schwarz-Carathéodory mirrored image precept for holomorphic features has a in simple terms conformal geometric formula when it comes to Riemannian metrics. This conformally invariant mirrored image precept generalizes clearly to analytic maps among Riemann surfaces and includes between different effects a characterization of finite Blaschke items because of M. Heins.
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Extra resources for A boundary version of Ahlfors` lemma, locally complete conformal metrics and conformally invariant reflection principles for analytic maps
S. Bland, Local boundary regularity of the canonical Einstein-K¨ahler metric on pseudoconvex domains, Math. Ann. 263 (1983), 289–301.  J. Bland and M. Kalka, Complete metrics conformal to the hyperbolic disc, Proc. Amer. Math. Soc. 97 (1986), 128–132.  R. Brooks, Some geometric aspects of the work of Lars Ahlfors, in Lectures in Memory of Lars Ahlfors, (R. Brooks and M. ), Israel Math. Conf. Proc. 14, Bar–Ilan University, Ramat Gan, 2000, pp. 31–39.  E. Calabi, An extension of E. Hopf’s maximum principle with an application to Riemannian geometry, Duke Math.
Calabi, An extension of E. Hopf’s maximum principle with an application to Riemannian geometry, Duke Math. J. 25 (1958), 45–56.  C. Carath´eodory, Zum Schwarzschen Spiegelungsprinzip (Die Randwerte von meromorphen Funktionen), Comment. Math. Helv. 46 (1946), 263–278. 256 D. KRAUS, O. ROTH AND S. RUSCHEWEYH  H. Chen, On the Bloch constant, in Approximation, Complex Analysis, and Potential Theory, (ed. N. ), Kluwer Academic Publishers, Dordrecht, 2001, pp. 129–161.  R. Courant and D. Hilbert, Methoden der Mathematischen Physik II, Springer Berlin–Heidelberg– New York, 1968.
8 (1987), 129–144.  Ch. Pommerenke, Boundary Behaviour of Conformal Maps, Springer-Verlag, Berlin, 1992.  O. Roth, A general conformal geometric reflection principle, Trans. Amer. Math. , to appear.  H. L. Royden, The Ahlfors–Schwarz Lemma: the case of equality, J. Analyse Math. 46 (1986), 261–270. ¨  H. A. Schwarz, Uber einige Abbildungsaufgaben, J. Reine Angew. Math. 70 (1869), 105–120.  J. H. Shapiro, Composition Operators and Classical Function Theory, Springer-Verlag, New York, 1993.