On hyperbolic Ricci solitons

Ghodratallah Fasihi-Ramandi, Shahroud Azami and Majid Ali Choudhary

Chaos, Solitons & Fractals, 2025, vol. 193, issue C

Abstract: This article explores the idea of hyperbolic Ricci soliton. A hyperbolic Ricci soliton is a Riemannian manifold equipped with a smooth vector field X with real constants λ and μ fulfilling Ric+λLXg+12LX(LXg)=μg. Also, hyperbolic Ricci solitons provide a comparable solution to hyperbolic Ricci flow. Then, we continue to lay the foundation of hyperbolic Ricci soliton and give some geometric aspects of this concept. Hyperbolic Ricci solitons with special potential vector fields will be studied. Finally, we examine the existence of this new structure on Poincare’s half plane.

Keywords: Ricci soliton; Poincare’s half plane; Hyperbolic soliton (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:193:y:2025:i:c:s0960077925001080

DOI: 10.1016/j.chaos.2025.116095

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