BASIC STRUCTURAL EQUATIONS FOR ALMOST
\nRICCI-HARMONIC SOLITONS AND APPLICATIONS

2018/06/24 by Abimbola Abolarinwa, Abolarinwa, Abimbola
Mathematics · Medicine · Physics and Astronomy · #53C21 #53C25 #53C44 #53C65 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Pelvic and Acetabular Injuries

paper · pdf · doi:10.48550/arxiv.1806.09190

openalex publication_date 2018/06/24 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28

Abstract

This paper studies gradient almost Ricci-harmonic soliton with respect to a\nfixed metric. We rely on analytic techniques to estabilish some basic elliptic\nand integral equations for the structure of almost Ricci-harmonic soliton which\ngeneralizes that of Ricci-hamonic solitons on one hand and that of almost Ricci\nsoliton on the other hand. The consequences of these formulas in relation to\nclassification and rigidity results for gradient almost Ricci-harmonic solitons\nare also discussed.\n

Citations

• Harmonic Mappings of Riemannian Manifolds
• A note on rigidity of the almost Ricci soliton
• Ricci solitons: the equation point of view

Related

• On the H-almost ricci soliton
• Almost soliton duality
• Back to almost Ricci solitons
• On the rigidity of harmonic-Ricci solitons
• Local Structure of Gradient Almost Ricci Solitons with Harmonic Weyl Tensor