Istanbul Journal of Mathematics, vol.1, no.1, pp.28-39, 2023 (Peer-Reviewed Journal)
In the present paper, we study Clairaut submersions and Einstein conditions whose total manifolds are locally conformal Kaehler
manifolds. We first give a necessary and sufficient condition for a curve to be geodesic on total manifold of a locally conformal
Kaehler submersion. Then, we investigate conditions for a locally conformal Kaehler submersion to be a Clairaut submersion.We
find the Ricci and scalar curvature formulas between any fiber of the total manifold and the base manifold of a locally conformal
Kaehler submersion and give necessary and sufficient conditions for the total manifold of a locally conformal Kaehler submersion
to be Einstein. Finally, we obtain some formulas for sectional and holomorphic sectional curvatures for a locally conformal Kaehler
submersion.