CONFORMAL ANTI-INVARIANT SUBMERSIONS FROM KENMOTSU MANIFOLDS ONTO RIEMANNIAN MANIFOLDS

Abstract

In this paper, we define conformal anti-invariant submersions from Kenmotsu manifolds onto Riemannian manifolds.  Further we obtain some results on such submersions from Kenmotsu manifolds into Riemannian manifolds admitting vertical or horizontal structural vector fields.  Among the results we find necessary and sufficient conditions for conformal anti-invariant submersions to be totally geodesic.  Moreover, we derive decomposition theorems by using the existence of conformal anti-invariant submersions.  Finally, we give some examples of conformal anti-invariant submersions such that characteristic vector field ξ is horizontal or vertical.