<i>h</i>-Almost Ricci–Yamabe Solitons in Paracontact Geometry

Abstract

In this article, we classify h-almost Ricci–Yamabe solitons in paracontact geometry. In particular, we characterize para-Kenmotsu manifolds satisfying h-almost Ricci–Yamabe solitons and 3-dimensional para-Kenmotsu manifolds obeying h-almost gradient Ricci–Yamabe solitons. Then, we classify para-Sasakian manifolds and para-cosymplectic manifolds admitting h-almost Ricci–Yamabe solitons and h-almost gradient Ricci–Yamabe solitons, respectively. Finally, we construct an example to illustrate our result.

Keywords

• h-almost Ricci–Yamabe solitons
• h-almost gradient Ricci–Yamabe solitons
• paracontact geometry
• para-Kenmotsu manifolds
• para-Sasakian manifolds
• para-cosymplectic manifolds