we obtain the expression of ricci tensor for a $gcr$-lightlikesubmanifold of indefinite complex space form and discuss itsproperties on a totally geodesic $gcr$-lightlike submanifold of anindefinite complex space form. moreover, we have proved that everyproper totally umbilical $gcr$-lightlike submanifold of anindefinite kaehler manifold is a totally geodesic $gcr$-lightlikesubmanifold.

We consider almost Riemann and Ricci solitons in a D-homothetically deformed Kenmotsu manifold having as potential vector field gradient field, solenoidal or the Reeb of structure, explicitly obtain scalar curvatures for some cases. also provide lower bound curvature initial when admits soliton.

This paper deals with the study of warped product pointwise bi-slant submanifolds Kenmotsu manifolds an example. The characterization for such submanifold is also discussed. An inequality obtained and its equality case considered.