Rigidity of critical metrics for quadratic curvature functions on closed Riemannian manifolds
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Publication:5090175
DOI10.4064/cm8236-6-2021zbMath1489.53064OpenAlexW4210379633WikidataQ115217794 ScholiaQ115217794MaRDI QIDQ5090175
Publication date: 15 July 2022
Published in: Colloquium Mathematicum (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4064/cm8236-6-2021
Rigidity results (53C24) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Cites Work
- Integral pinched shrinking Ricci solitons
- The classification of \((m, \rho)\)-quasi-Einstein manifolds
- Some rigidity results on critical metrics for quadratic functionals
- Extrema of curvature functional on the space of metrics on 3-manifolds
- Rigidity of Einstein metrics as critical points of quadratic curvature functionals on closed manifolds
- Rigidity theorems for compact Bach-flat manifolds with positive constant scalar curvature
- On Bach-flat gradient shrinking Ricci solitons
- Rigidity of Riemannian manifolds with positive scalar curvature
- Bach-flat critical metrics for quadratic curvature functionals
- On locally conformally flat critical metrics for quadratic functionals
- Rigidity and stability of Einstein metrics for quadratic curvature functionals
- Einstein manifolds
- On conformally flat manifolds with constant positive scalar curvature
- A critical metric for the 𝐿²-norm of the curvature tensor on 𝑆³
- Some characterizations on critical metrics for quadratic curvature functions
- A new variational characterization of 𝑛-dimensional space forms
- A new variational characterization of three-dimensional space forms
- Unnamed Item
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