Rigidity of complete noncompact Riemannian manifolds with harmonic curvature
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Publication:1742279
DOI10.1016/J.GEOMPHYS.2017.11.004zbMath1388.53039arXiv1707.05036OpenAlexW2768567294WikidataQ115352937 ScholiaQ115352937MaRDI QIDQ1742279
Publication date: 11 April 2018
Published in: Journal of Geometry and Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1707.05036
Rigidity results (53C24) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items (3)
RIGIDITY OF COMPLETE RIEMANNIAN MANIFOLDS WITH VANISHING BACH TENSOR ⋮ Some rigidity characterizations on critical metrics for quadratic curvature functionals ⋮ Some rigidity characterizations of Einstein metrics as critical points for quadratic curvature functionals
Cites Work
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- Rigidity of noncompact complete manifolds with harmonic curvature
- A rigidity theorem for complete noncompact Bach-flat manifolds
- Rigidity of noncompact complete Bach-flat manifolds
- Conformal deformation of a Riemannian metric to constant scalar curvature
- Conformally flat manifolds, Kleinian groups and scalar curvature
- Effective \(L_p\) pinching for the concircular curvature
- On compact Riemannian manifolds with harmonic curvature
- Einstein-like manifolds which are not Einstein
- Rigidity theorem for integral pinched shrinking Ricci solitons
- Integral pinched gradient shrinking \(\rho\)-Einstein solitons
- On conformally flat manifolds with constant positive scalar curvature
- Riemannian manifolds with harmonic curvature
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