RIGIDITY OF COMPLETE RIEMANNIAN MANIFOLDS WITH VANISHING BACH TENSOR
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Publication:5242415
DOI10.4134/BKMS.b181193zbMath1427.53051OpenAlexW3030533257MaRDI QIDQ5242415
Publication date: 8 November 2019
Full work available at URL: http://koreascience.or.kr/article/JAKO201928463078735.page
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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