Clairaut Anti-invariant Riemannian Maps from Kahler Manifolds

In this paper, we study Clairaut anti-invariant Riemannian map from a Kahler manifold to a Riemannian manifold and give nontrivial examples of such Riemannian maps. We obtain a necessary and sufficient condition for an anti-invariant Riemannian map to be Clairaut anti-invariant Riemannian map. Further, we establish curvature relations for total manifold and range F-* under Clairaut Lagrangian Riemannian map. We also obtain necessary and sufficient condition for vertical space ker F-* and horizontal space (ker F-*)(perpendicular to) to define totally geodesic foliation on the total manifold.