Rigidity of the critical point equation

DOI10.1002/mana.200710037zbMath1198.53065OpenAlexW1976892630MaRDI QIDQ3567444

Gabjin Yun, Jeongwook Chang, Seungsu Hwang

Publication date: 17 June 2010

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200710037

zbMATH Keywords

Einstein metrictotal scalar curvature functionalsecond homology

Mathematics Subject Classification ID

Differential geometric aspects of harmonic maps (53C43) Manifolds of metrics (especially Riemannian) (58D17)

Related Items (10)

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 ⋮ 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 ⋮ On critical point equation of compact manifolds with zero radial Weyl curvature ⋮ 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

Cites Work

• Unnamed Item
• Critical points of the total scalar curvature functional on the space of metrics of constant scalar curvature
• Certain conditions for a Riemannian manifold to be isometric with a sphere
• SOME REMARKS ON STABLE MINIMAL SURFACES IN THE CRITICAL POINT OF THE TOTAL SCALAR CURVATURE
• A note on Fischer-Marsden’s conjecture
• The critical point equation on a three-dimensional compact manifold
• Manifolds of Riemannian metrics with prescribed scalar curvature

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