Spherical Stein manifolds and the Weyl involution

Details Spherical Stein manifolds and the Weyl involution Spherical Stein manifolds and the Weyl involution

2008-02-02

arxiv.org/abs/0802.0244v1

Ann. Inst. Fourier, Grenoble 59, 3 (2009) 1029-1041

Mathematics

Complex Variables

12 pages

Scientific paper

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.

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