Clairaut anti-invariant Riemannian maps to Sasakian manifolds

Abstract

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.