On the \(\sigma_2\)-curvature and volume of compact manifolds
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Publication:2678911
DOI10.1007/s10231-022-01245-3OpenAlexW3212611867MaRDI QIDQ2678911
Tiarlos Cruz, Almir Silva Santos, M. G. C. Andrade
Publication date: 25 January 2023
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.08670
Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Conformal structures on manifolds (53C18)
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Cites Work
- Bach-flat critical metrics of the volume functional on 4-dimensional manifolds with boundary
- A variational characterization of flat spaces in dimension three
- Deformation of scalar curvature and volume
- Deformations of \(Q\)-curvature. I
- Variational status of a class of fully nonlinear curvature prescription problems
- On the volume functional of compact manifolds with boundary with constant scalar curvature
- The Dirichlet problem for nonlinear second order elliptic equations. III: Functions of the eigenvalues of the Hessian
- Rigidity and stability of Einstein metrics - The case of compact symmetric spaces
- Deformations of the scalar curvature
- Deformation of the \(\sigma_2\)-curvature
- A fully nonlinear equation on four-manifolds with positive scalar curvature.
- Boundary operators associated to the \(\sigma_{k}\)-curvature
- Zur Symmetrisierung von Funktionen auf Sphären
- Nonlinear elliptic equations in conformal geometry
- A variational characterization for \(\sigma_{n/2}\)
- Conformal geometry, contact geometry, and the calculus of variations
- Critical metrics of the volume functional on compact three-manifolds with smooth boundary
- Some constructions of formally self-adjoint conformally covariant polydifferential operators
- On the stability of Einstein manifolds
- On the existence and stability of the Penrose compactification
- Einstein manifolds
- Topics in stability and bifurcation theory
- Conformal deformation on manifolds with boundary
- Einstein and conformally flat critical metrics of the volume functional
- A new variational characterization of 𝑛-dimensional space forms
- Solutions to the singular $\sigma_2$ −Yamabe problem with isolated singularities
- Critical metrics of the volume functional on manifolds with boundary
- Conformally variational Riemannian invariants
- Critical Metrics for Riemannian Curvature Functionals
- A new variational characterization of three-dimensional space forms
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