On warped product semi-slant submanifolds of nearly Trans-Sasakian manifolds

Akram Ali, Ali H Alkhaldi, Rifaqat Ali


In this paper, we study the existence of warped product semi-
slant submanifold of type $M=N_T\times_fN_\theta$ with slant ber, isometrically
immersed in a nearly Trans-Sasakian manifold by nding necessary and
sucient conditions in terms of Weingarten operator, which generalized
such conditions to all contact metric manifolds. That is, we show that
how to reduce a semi-slant submanifold to be a warped product semi-
slant submanifold of a nearly Trans-Sasakian manifold.

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