RIGIDITY OF COMPLETE RIEMANNIAN MANIFOLDS WITH VANISHING BACH TENSOR

DOI10.4134/BKMS.b181193zbMath1427.53051OpenAlexW3030533257MaRDI QIDQ5242415

Bingqing Ma, Guangyue Huang

Publication date: 8 November 2019

Full work available at URL: http://koreascience.or.kr/article/JAKO201928463078735.page

zbMATH Keywords

rigiditySobolev constantvanishing Bach tensor

Mathematics Subject Classification ID

Rigidity results (53C24) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (4)

Rigidity theorem for compact Bach-flat manifolds with positive constant \(\sigma_2\) ⋮ Unnamed Item ⋮ Rigidity of Riemannian manifolds with vanishing generalized Bach tensor ⋮ Rigid properties for gradient generalized \(m\)-quasi-Einstein manifolds and gradient shrinking Ricci solitons

Cites Work

• Integral pinched shrinking Ricci solitons
• Rigidity of complete noncompact bach-flat \(n\)-manifolds
• Rigidity of noncompact complete manifolds with harmonic curvature
• A rigidity theorem for complete noncompact Bach-flat manifolds
• Rigidity of noncompact complete Bach-flat manifolds
• Conformally flat manifolds, Kleinian groups and scalar curvature
• Rigidity of Einstein metrics as critical points of quadratic curvature functionals on closed manifolds
• Rigidity of complete noncompact Riemannian manifolds with harmonic curvature
• Rigidity of Riemannian manifolds with positive scalar curvature
• Rigidity theorem for integral pinched shrinking Ricci solitons
• Integral pinched gradient shrinking \(\rho\)-Einstein solitons
• A sphere theorem for Bach-flat manifolds with positive constant scalar curvature

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