The automorphism group of the tetrablock

Details The automorphism group of the tetrablock The automorphism group of the tetrablock

2007-08-05

arxiv.org/abs/0708.0689v1

Mathematics

Complex Variables

13 pages, 0 figures

Scientific paper

The tetrablock is a domain in 3-dimensional complex space that meets 3-dimensional Euclidean space in a regular tetrahedron. It is shown to be inhomogeneous and its automorphism group is determined. A type of Schwarz lemma for the tetrablock is proved. The action of the automorphism group is described in terms of a certain natural foliation of the tetrablock by complex geodesic discs.

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