The purpose of this research is to investigate how a ρ-Einstein soliton structure on warped product manifold affects its base and fiber factor manifolds. Firstly, the pertinent properties solitons are provided. Secondly, numerous necessary sufficient conditions make examined. On gradient manifold, for making presented. manifolds admitting conformal vector field also considered. Finally, some sp...

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.