Clairaut anti-invariant Riemannian maps to trans-Sasakian manifolds

Abstract

In this article, we introduce Clairaut anti-invariant Riemannian maps from Riemannian manifolds to trans-Sasakian manifolds. We derive necessary and sufficient condition for an anti-invariant map to be Clairaut when base manifold is trans-Sasakian manifold. We discuss the integrability of range\pi_* and (range\pi_*)^\perp. Further, we establish harmonicity of these maps. Finally, we construct nontrivial examples of such maps for justification.