Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
; Chinese Acad Sci, Inst High Energy Phys, Beijing 100039, Peoples R China
; Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
The Poisson kernels and relations between them for a massive scaler field in a unit ball B-n with Hua's metric and conformal flat metric are obtained by describing the B-n as a submanifold of an (n + 1)-dimensional embedding space. Global geometric properties of the AdS space are discussed. We show that the (n + 1)-dimensional AdS space AdS(n+1) is isomorphic to RP1 x B-n and boundary of the AdS is isomorphic to RP1 x Sn-1. Bulk-boundary propagator and the AdS/CFT like correspondence are demonstrated based on these global geometric properties of the RP1 x B-n.