Generalized H-almost Ricci Soliton in Almost Kenmotsu Manifold

The primary objective of this paper is to give geometric classifications for h-almost Ricci soliton associated with almost Kenmotsu manifolds. Initially, we demonstrate that a complete Kenmotsu manifold with a generalized h-almost Ricci structure is either 7-Einstein or its soliton is steady under specific circumstances. Subsequently, it is proved that a Kenmotsu manifold (k, ç)', with h' 0, it shows expansion with a generalized b-almost Ricci metric.