Volume functional of compact 4-manifolds with a prescribed boundary metric
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Publication:2024633
DOI10.1007/s12220-020-00452-9zbMath1467.53051arXiv1709.07839OpenAlexW3037776892MaRDI QIDQ2024633
R. Diógenes, Halyson I. Baltazar, Ernani jun. Ribeiro
Publication date: 4 May 2021
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.07839
Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Integral geometry (53C65) Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items
Geometric inequalities for critical metrics of the volume functional ⋮ On the volume functional of compact manifolds with harmonic Weyl tensor ⋮ Critical metrics of the volume functional with pinched curvature ⋮ Remarks on compact quasi-Einstein manifolds with boundary ⋮ Weakly Einstein critical metrics of the volume functional on compact manifolds with boundary ⋮ Critical metrics on 4-manifolds with harmonic anti-self dual Weyl tensor
Cites Work
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- Bach-flat critical metrics of the volume functional on 4-dimensional manifolds with boundary
- Integral pinched shrinking Ricci solitons
- Deformation of scalar curvature and volume
- On the volume functional of compact manifolds with boundary with constant scalar curvature
- Effective \(L_p\) pinching for the concircular curvature
- A differential equation arising from scalar curvature function
- The Yamabe problem on manifolds with boundary
- Four-dimensional static and related critical spaces with harmonic curvature
- Remarks on critical metrics of the scalar curvature and volume functionals on compact manifolds with boundary
- On Bach-flat gradient shrinking Ricci solitons
- Critical metrics of the volume functional on compact three-manifolds with smooth boundary
- The generalized Pohozaev-Schoen identity and some geometric applications
- Gradient Ricci solitons with vanishing conditions on Weyl
- Integral pinched gradient shrinking \(\rho\)-Einstein solitons
- Einstein and conformally flat critical metrics of the volume functional
- Critical metrics of the volume functional on manifolds with boundary
- Scalar curvature deformation and a gluing construction for the Einstein constraint equations
