CR-doubly warped product submanifolds on Sasakian space forms

Abstract

Recently, Izumi Hasegawa and Ion Mihai obtained a sharp inequality for CRwarped products isometrically immersed in Sasakian manifolds. Later, Ion Mihai improved the above inequality for CR-warped products isometrically immersed in Sasakian space forms. In the present paper, we establish a sharp inequality for CR-doubly warped products isometrically immersed in Sasakian space forms.