Non-singular solutions to the normalized Ricci flow equation

DOI10.1007/s00208-007-0164-5zbMath1131.53034arXivmath/0609254OpenAlexW2037813426MaRDI QIDQ2465224

Zhen Lei Zhang, Yuguang Zhang, Fu-Quan Fang

Publication date: 9 January 2008

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609254

zbMATH Keywords

Euler characteristicRicci flowEinstein metricshrinking Ricci soliton

Mathematics Subject Classification ID

Related Items (12)

The Euler characteristic and signature of four-dimensional closed manifolds and the normalized Ricci flow equation ⋮ Miyaoka-Yau inequality for minimal projective manifolds of general type ⋮ A note on convergence of noncompact nonsingular solutions of the Ricci flow ⋮ Ricci flow on a class of noncompact warped product manifolds ⋮ Families of 4-manifolds with nontrivial stable cohomotopy Seiberg-Witten invariants, and normalized Ricci flow ⋮ A note on the Hitchin-Thorpe inequality and Ricci flow on 4-manifolds ⋮ Maximum solutions of normalized Ricci flow on 4-manifolds ⋮ \(G\)-monopole classes, Ricci flow, and Yamabe invariants of 4-manifolds ⋮ A remark on compact Ricci solitons ⋮ NORMALIZED RICCI FLOW, SURGERY, AND SEIBERG–WITTEN INVARIANTS ⋮ Non-singular solutions of normalized Ricci flow on noncompact manifolds of finite volume ⋮ Smooth structures, normalized Ricci flows, and finite cyclic groups

Cites Work

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• Collapsing Riemannian manifolds while keeping their curvature bounded. I
• Logarithmic Sobolev inequalities and the spectrum of Schrödinger operators
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• Entropy and reduced distance for Ricci expanders
• Three-manifolds with positive Ricci curvature
• Rationality of geometric signatures of complete 4-manifolds
• More constraints on symplectic forms from Seiberg-Witten invariants
• Perelman's \(\lambda\)-functional and Seiberg-Witten equations
• On the finiteness of the fundamental group of a compact shrinking Ricci soliton
• A Compactness Property for Solutions of the Ricci Flow
• Four-manifolds with positive isotropic curvature
• Ricci curvature, minimal volumes, and Seiberg-Witten theory
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