Complete noncompact manifolds with harmonic curvature

DOI10.1007/s11464-012-0168-7zbMath1261.53030OpenAlexW2133429199MaRDI QIDQ1758568

Yawei Chu

Publication date: 15 November 2012

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-012-0168-7

zbMATH Keywords

space formharmonic curvaturetrace-free curvature tensorcomplete noncompact manifold

Mathematics Subject Classification ID

Related Items (4)

Einstein manifolds with finite \(L^p\)-norm of the Weyl curvature ⋮ Rigidity of complete manifolds with parallel Cotton tensor ⋮ On compact manifolds with harmonic curvature and positive scalar curvature ⋮ Some \(L^p\) rigidity results for complete manifolds with harmonic curvature

Cites Work

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• A rigidity theorem for complete noncompact Bach-flat manifolds
• Conformal deformation of a Riemannian metric to constant scalar curvature
• Ricci deformation of the metric on a Riemannian manifold
• Conformally flat manifolds, Kleinian groups and scalar curvature
• Effective \(L_p\) pinching for the concircular curvature
• On a type of contact manifolds
• Bach-flat asymptotically locally Euclidean metrics
• Three-manifolds with positive Ricci curvature
• On real hypersurfaces with harmonic curvature of a quaternionic projective space
• Asymptotic curvature decay and removal of singularities of Bach-flat metrics

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