H-almost Ricci-Yamabe solitons in paracontact geometry

2021/11/26 by Sardar, Arpan, De, Uday Chand, Özgür, Cihan
#53C15 #53C25 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2111.13577

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. Next, we classify para-Sasakian manifolds admitting h-almost Ricci-Yamabe solitons and h-almost gradient Ricci-Yamabe solitons. Besides these, we investigate h-almost Ricci-Yamabe solitons and h-almost gradient Ricci-Yamabe solitons in para-cosymplectic manifolds. Finally, we construct two examples to illustrate our results.

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