h -Almost Ricci–Yamabe Solitons in Paracontact Geometry

Uday Chand De, Mohammad Nazrul Islam Khan () and Arpan Sardar
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Uday Chand De: Department of Pure Mathematics, University of Calcutta, 35, Ballygaunge Circular Road, Kolkata 700019, India
Mohammad Nazrul Islam Khan: Department of Computer Engineering, College of Computer, Qassim University, Buraydah 51452, Saudi Arabia
Arpan Sardar: Department of Mathematics, University of Kalyani, Kalyani 741235, India

Mathematics, 2022, vol. 10, issue 18, 1-12

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 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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