Schwarz Lemma for the tetrablock

Details Schwarz Lemma for the tetrablock Schwarz Lemma for the tetrablock

2008-03-13

arxiv.org/abs/0803.2058v1

Mathematics

Complex Variables

10 pages

Scientific paper

We describe all complex geodesics in the tetrablock passing through the origin thus obtaining the form of all extremals in the Schwarz Lemma for the tetrablock. Some other extremals for the Lempert function and geodesics are also given. The paper may be seen as a continuation of the results Abouhajar, White and Young. The proofs rely on a necessary form of complex geodesics in general domains which is also proven in the paper.

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