Reading about Sasakian manifolds one come across two slogans:

A) "A Sasakian manifold is an odd-dimensional analogue of a Kahler manifold."

B) "A Sasakian manifold sits between two Kahler manifolds - one above and one below."

I would like to understand the second slogan for the motivating example of the three sphere $S^3$. What are the two Kahler manifolds that it sits between? I would guess that below is the projective line $\mathbb{CP}^1$. But I cannot guess what lies above.