Weyl curvature and the Euler characteristic in dimension four

DOI10.1016/j.difgeo.2005.08.008zbMath1094.53036arXivmath/0504535OpenAlexW1968793211WikidataQ115357911 ScholiaQ115357911MaRDI QIDQ2489749

Harish Seshadri

Publication date: 28 April 2006

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504535

zbMATH Keywords

Euler characteristicWeyl curvatureYamabe metricAsymptotically flat manifoldsChern-Gauss-Bonnet Theorem

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (5)

On Euler characteristic and Hitchin-Thorpe inequality for four-dimensional compact Ricci solitons ⋮ The Weyl functional on 4-manifolds of positive Yamabe invariant ⋮ Rigidity in dimension four of area-minimising Einstein manifolds ⋮ Hitchin-thorpe inequality and Kaehler metrics for compact almost Ricci soliton ⋮ Almost conformally flat hypersurfaces

Cites Work

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• Conformal deformation of a Riemannian metric to constant scalar curvature
• The classification of simply connected manifolds of positive scalar curvature
• The Weyl functional, de Rham cohomology, and Kähler-Einstein metrics
• On Einstein manifolds of positive sectional curvature
• Conformal vector fields on four-manifolds with negative scalar curvature
• On the curvatura integra in a Riemannian manifold
• Ricci Curvature Bounds and Einstein Metrics on Compact Manifolds
• The Yamabe problem
• \(L^2\) curvature and volume renormalization of AHE metrics on 4-manifolds

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