Scalar curvature bound and compactness results for Ricci harmonic solitons

DOI10.1090/proc/13410zbMath1393.53041OpenAlexW2509146147WikidataQ125908308 ScholiaQ125908308MaRDI QIDQ4563661

Guoqiang Wu

Publication date: 4 June 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/13410

zbMATH Keywords

Ricci harmonic solitonscalar curvature boundweighted equation

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24)

Related Items (3)

Basic structural equations for almost Ricci-harmonic solitons and applications ⋮ On the relation between Ricci-harmonic solitons and Ricci solitons ⋮ A new notion on weighted Riemann curvature

Cites Work

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• Three-manifolds with positive Ricci curvature
• Rotationally symmetric shrinking and expanding gradient Kähler-Ricci solitons
• Volume growth for gradient shrinking solitons of Ricci-harmonic flow
• Ricci flow coupled with harmonic map flow
• Manifolds with 1/4-pinched curvature are space forms

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