Effective actions of SU_n on complex n-dimensional manifolds

2003/01/08 by Isaev, A. V., Kruzhilin, N. G.
#32M17 #32Q57 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/0301059

Abstract

For n≥ 2 we classify all connected n-dimensional complex manifolds admitting effective actions of the special unitary group SU_n by biholomorphic transformations.

Related

• Effective actions of the unitary group on complex manifolds
• Effective actions of the general indefinite unitary groups on holomorphically separable manifolds
• Proper actions of high-dimensional groups on complex manifolds
• Manifolds with an SU(2)-action on the tangent bundle
• Classical Symmetries of Complex Manifolds