The critical point equation on a three-dimensional compact manifold

DOI10.1090/S0002-9939-03-07165-XzbMath1046.53015MaRDI QIDQ4417218

Seungsu Hwang

Publication date: 28 July 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Einstein metricsconstant scalar curvaturestable minimal surfaces in 3-manifolds

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20)

Related Items (14)

Critical metrics of the scalar curvature functional satisfying a vanishing condition on the Weyl tensor ⋮ Critical metrics of the total scalar curvature functional on 4-manifolds ⋮ Critical point equation on four-dimensional compact manifolds ⋮ Vacuum Einstein field equations in smooth metric measure spaces: the isotropic case* ⋮ On the structure of linearization of the scalar curvature ⋮ Critical point equation and closed conformal vector fields ⋮ Brown-York mass and positive scalar curvature. II: Besse's conjecture and related problems ⋮ A note on critical point metrics of the total scalar curvature functional ⋮ Rigidity of the critical point equation ⋮ On critical point equation of compact manifolds with zero radial Weyl curvature ⋮ Implications of energy conditions on standard static space-times ⋮ On static manifolds and related critical spaces with zero radial Weyl curvature ⋮ Besse conjecture for compact manifolds with pinched curvature ⋮ Remarks on critical point metrics of the total scalar curvature functional

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