Three-dimensional homogeneous critical metrics for quadratic curvature functionals
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Publication:2662184
DOI10.1007/s10231-020-00999-yzbMath1480.53053OpenAlexW3036618711MaRDI QIDQ2662184
S. Caeiro-Oliveira, Eduardo García-Río, Miguel Brozos-Vázquez
Publication date: 9 April 2021
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10231-020-00999-y
Rigidity results (53C24) Critical metrics (58E11) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Local Riemannian geometry (53B20)
Related Items (5)
Ricci solitons on four-dimensional Lorentzian Lie groups ⋮ Curvature homogeneous critical metrics in dimension three ⋮ Rigidity of critical metrics for quadratic curvature functionals ⋮ Homogeneous and curvature homogeneous Lorentzian critical metrics ⋮ Critical metrics and massive gravity solutions on three-dimensional Brinkmann waves*
Cites Work
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- A variational characterization of flat spaces in dimension three
- Critical metrics of the Schouten functional
- Isometric immersions into 3-dimensional homogeneous manifolds
- Some rigidity results on critical metrics for quadratic functionals
- Deformations of Riemannian metrics on 3-dimensional manifolds
- Curvatures of left invariant metrics on Lie groups
- The volume of a small geodesic ball of a Riemannian manifold
- Cyclic metric Lie groups
- On homogeneous Riemannian manifolds
- Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
- Mean distance of Brownian motion on a Riemannian manifold.
- A critical metric for the 𝐿²-norm of the curvature tensor on 𝑆³
- Constant mean curvature surfaces in metric Lie groups
- Quelques formules de variation pour une structure riemannienne
- A new variational characterization of three-dimensional space forms
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