Can I read A new variant of the Schwarz-Pick-Ahlfors lemma on EtoBox?

A new variant of the Schwarz-Pick-Ahlfors lemma by Osserman, Robert is a scholarly article available to read on EtoBox.

What is A new variant of the Schwarz-Pick-Ahlfors lemma about?

We prove a ``general shrinking lemma'' that resembles the Schwarz--Pick--Ahlfors Lemma and its many generalizations, but differs in applying to maps of a finite disk into a disk, rather than requiring the domain of the map to be complete. The conclusion is that distances to the origin are all shrunk, and by a limiting procedure we can recover the original Ahlfors Lemma, that {\em all} distances are shrunk. The method of proof is also different in that it relates the shrinking of the Schwarz--Pick--Ahlfors-type lemmas to the comparison theorems of Riemannian geometry.

Author

Osserman, Robert

Published

1998

Language

EN