Extrema of curvature functional on the space of metrics on 3-manifolds
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Publication:1357760
DOI10.1007/s005260050066zbMath0889.58027OpenAlexW2079651583MaRDI QIDQ1357760
Publication date: 8 June 1998
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s005260050066
Global Riemannian geometry, including pinching (53C20) Critical metrics (58E11) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60)
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Scalar curvature and the existence of geometric structures on 3-manifolds, I ⋮ Critical metrics of the $L^{2}$-norm of the scalar curvature ⋮ Rigidity of Einstein metrics as critical points of quadratic curvature functionals on closed manifolds ⋮ Rigidity of critical metrics for quadratic curvature functions on closed Riemannian manifolds ⋮ Some rigidity results on critical metrics for quadratic functionals ⋮ Some characterizations on critical metrics for quadratic curvature functions ⋮ Critical metrics of the Schouten functional ⋮ Rigidity of critical metrics for quadratic curvature functionals ⋮ The ground state and the long-time evolution in the CMC Einstein flow ⋮ Boundary regularity, uniqueness and non-uniqueness for AH Einstein metrics on 4-manifolds. ⋮ Maximum solutions of normalized Ricci flow on 4-manifolds ⋮ On the stability of the \(L^p\)-norm of the Riemannian curvature tensor ⋮ Scalar curvature and the existence of geometric structures on 3-manifolds, II ⋮ Some rigidity characterizations on critical metrics for quadratic curvature functionals ⋮ Some rigidity characterizations of Einstein metrics as critical points for quadratic curvature functionals ⋮ Improved breakdown criterion for einstein vacuum equations in CMC gauge ⋮ Recent developments on the Ricci flow ⋮ On conformally flat critical Riemannian metrics for a curvature functional ⋮ On critical Riemannian metrics for a curvature functional on 3-manifolds
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