A note on the Hitchin-Thorpe inequality and Ricci flow on 4-manifolds

DOI10.1090/S0002-9939-2011-11084-0zbMath1238.53044arXiv0903.2539MaRDI QIDQ5390231

Yuguang Zhang, Zhen Lei Zhang

Publication date: 27 April 2012

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

Full work available at URL: https://arxiv.org/abs/0903.2539

zbMATH Keywords

signatureEuler numberEinstein metricYamabe invariant

Mathematics Subject Classification ID

Related Items (2)

On Euler characteristic and Hitchin-Thorpe inequality for four-dimensional compact Ricci solitons ⋮ The Euler characteristic and signature of four-dimensional closed manifolds and the normalized Ricci flow equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The normalized Ricci flow on four-manifolds and exotic smooth structures
• Perelman's invariant, Ricci flow, and the Yamabe invariants of smooth manifolds
• Non-singular solutions of normalized Ricci flow on noncompact manifolds of finite volume
• Notes on Perelman's papers
• Deformation of Kähler metrics to Kähler-Einstein metrics on compact Kähler manifolds
• Existence and degeneration of Kähler-Einstein metrics on minimal algebraic varieties of general ype
• Logarithmic Sobolev inequalities and the spectrum of Schrödinger operators
• Kodaira dimension and the Yamabe problem
• Non-singular solutions of the Ricci flow on three-manifolds
• Three-manifolds with positive Ricci curvature
• On the Kähler-Ricci flow on projective manifolds of general type
• Compact blow-up limits of finite time singularities of Ricci flow are shrinking Ricci solitons
• The Kähler-Ricci flow on surfaces of positive Kodaira dimension
• Non-singular solutions to the normalized Ricci flow equation
• Perelman's \(\lambda\)-functional and Seiberg-Witten equations
• Scalar Curvature Bound for Kahler-Ricci Flows over Minimal Manifolds of General Type
• Miyaoka-Yau inequality for minimal projective manifolds of general type
• Compact four-dimensional Einstein manifolds

This page was built for publication: A note on the Hitchin-Thorpe inequality and Ricci flow on 4-manifolds