English

The automorphism group of the tetrablock

Complex Variables 2014-02-26 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0708.0689,
  title  = {The automorphism group of the tetrablock},
  author = {N. J. Young},
  journal= {arXiv preprint arXiv:0708.0689},
  year   = {2014}
}

Comments

13 pages, 0 figures

R2 v1 2026-06-21T09:04:59.410Z