Relative quasimöbius maps and psi-natural domains in Banach spaces Manzi Huang (joint with Xiantao Wang and Qingshan Zhou) Department of Mathematics, Hunan Normal University, Changsha 410081, People's Republic of China Abstract. The main aim of this talk is to consider that the quasimöbius invariant properties rel boundary of psi-natural domain in E. We show that that a psi-natural domain G in E is quasimöbius relative to a boundary invariant under semi-CQH condition.