Rigidity of critical metrics for quadratic curvature functionals
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Publication:2681053
DOI10.1016/j.matpur.2023.01.001OpenAlexW3204704776MaRDI QIDQ2681053
Paolo Mastrolia, Giovanni Catino, Dario Daniele Monticelli
Publication date: 10 February 2023
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.02683
Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Rigidity results (53C24) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Cites Work
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- A variational characterization of flat spaces in dimension three
- An extension of E. Hopf's maximum principle with an application to Riemannian geometry
- Comparison geometry for the Bakry-Emery Ricci tensor
- Some rigidity results on critical metrics for quadratic functionals
- Extrema of curvature functional on the space of metrics on 3-manifolds
- Bach-flat asymptotically locally Euclidean metrics
- Lower bounds on Ricci curvature and the almost rigidity of warped products
- Some triviality results for quasi-Einstein manifolds and Einstein warped products
- Rigidity and stability of Einstein metrics for quadratic curvature functionals
- Spaces of Riemannian metrics
- Einstein manifolds
- On the geometry of gradient Einstein-type manifolds
- Three-dimensional homogeneous critical metrics for quadratic curvature functionals
- Critical metrics of the $L^{2}$-norm of the scalar curvature
- Harmonic functions on complete riemannian manifolds
- A critical metric for the 𝐿²-norm of the curvature tensor on 𝑆³
- ON THE GLOBAL STRUCTURE OF CONFORMAL GRADIENT SOLITONS WITH NONNEGATIVE RICCI TENSOR
- A Perspective on Canonical Riemannian Metrics
- Quelques formules de variation pour une structure riemannienne
- Extrema of curvature functionals on the space of metrics on 3-manifolds. II
- A new variational characterization of three-dimensional space forms
- Critical metrics on connected sums of Einstein four-manifolds
