Geometry of -ricci Yamabe soliton on nearly Sasakian manifold

Key Points

• Ricci-semisymmetricity influences the behavior of $ta$-Ricci-Yamabe solitons on nearly-Sasakian manifolds.
• Conditions for solitons to be shrinking, steady, or expanding are explored in detail within the framework of nearly-Sasakian geometry.
• The study includes an examination of 3-dimensional nearly-Sasakian manifolds under specific geometric conditions.
• By analyzing properties of solitons, the paper enhances understanding of their implications in differential geometry.