Conformal triality of de sitter, Minkowski and anti-de Sitter spaces

We describe how conformal Minkowski, dS- and AdS-spaces can be united into a single submanifold [N] of RP5. It is the set of generators of the null cone in M-2,M-4. Conformal transformations on the Mink-, dS- and AdS-spaces are induced by O(2, 4) linear transformations on M-2,M-4. We also describe how Weyl transformations and conformal transformations can be resulted in on [N]. In such a picture we give a description of how the conformal Mink-, dS- and AdS-spaces as well as [N] are mapped from one to another by conformal maps. This implies that a CFT in one space can be translated into a CFT in another. As a consequence, the AdS/CFT-correspondence should be extended.