Infinite-dimensionality of the Automorphism Groups of Homogeneous Stein Manifolds

Abstract

We show that the group of holomorphic automorphisms of a Stein manifold X of dimension greater than 1 is infinite-dimensional, provided X is a homogeneous space of a holomorphic action of a complex Lie group.

References in corpus (1)

• Criteria for the density property of complex manifolds

Cited by in corpus (1)

• Algebraic density property of homogeneous spaces