Abstract

In the present paper, we investigate geometric properties of Clairaut anti-invariant submersions whose total spaces are nearly Kähler manifolds. We obtain a condition for a Clairaut anti-invariant submersion to be a totally geodesic map and also study Clairaut anti-invariant submersions with totally umbilical fibers.

Keywords: Riemannian submersion; nearly Kähler manifolds; anti-invariant submersion; Clairaut submersion; totally geodesic maps.

MSC: 53C12, 53C15, 53C20, 53C55

Pages:  197$-$204     

Volume  74 ,  Issue  3 ,  2022