English

Spherical Stein manifolds and the Weyl involution

Complex Variables 2009-08-19 v1 Representation Theory

Abstract

It is proved that a Stein manifold acted on by a connected compact Lie group is spherical if and only if there exists an antiholomorphic involution preserving each orbit of the action. This involution can be chosen equivariant with respect to a Weyl involution of the group.

Keywords

Cite

@article{arxiv.0802.0244,
  title  = {Spherical Stein manifolds and the Weyl involution},
  author = {Dmitri Akhiezer},
  journal= {arXiv preprint arXiv:0802.0244},
  year   = {2009}
}

Comments

12 pages

R2 v1 2026-06-21T10:08:55.481Z