  In this paper, we investigate the geometry of Clairaut anti-invariant
Riemannnian maps whose base space are Sasakian manifolds. We obtain the
necessary and sufficient conditions for a curve on a base manifold to be
geodesic. We obtain conditions for an anti-invariant Riemannian map to be
Clairaut. Further, we discuss the biharmonicity of such maps and construct some
illustrative examples.
