\(L^{n/2}\)-curvature gaps of the Weyl tensor

DOI10.1007/s12220-012-9356-7zbMath1303.53054OpenAlexW2106245003MaRDI QIDQ472034

Mario Listing

Publication date: 18 November 2014

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-012-9356-7

zbMATH Keywords

Weyl tensorYamabe invariant

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (2)

Almost conformally flat hypersurfaces ⋮ On the isolation phenomena of Einstein manifolds—submanifolds versions

Cites Work

• Unnamed Item
• Minimal two-spheres and the topology of manifolds with positive curvature on totally isotropic two-planes
• Les variétés de dimension 4 à signature non nulle dont la courbure est harmonique sont d'Einstein
• The Weyl functional, de Rham cohomology, and Kähler-Einstein metrics
• Yamabe invariants and \(\text{spin}^c\) structures
• Yamabe constants and the perturbed Seiberg-Witten equations
• The Weyl functional near the Yamabe invariant
• The modified Yamabe problem and geometry of modified scalar curvatures
• Positive Einstein metrics with small \(L^{n/2}\)-norm of the Weyl tensor
• Isolation of the Weyl conformal tensor for Einstein manifolds.
• Curvature functions for compact 2-manifolds
• Einstein manifolds with nonnegative isotropic curvature are locally symmetric
• The Yamabe problem
• A theorem on Riemannian manifolds of positive curvature operator
• Four-manifolds with positive isotropic curvature

This page was built for publication: \(L^{n/2}\)-curvature gaps of the Weyl tensor