Critical points of the total scalar curvature functional on the space of metrics of constant scalar curvature
From MaRDI portal
Publication:1593640
DOI10.1007/PL00005857zbMath0972.58009OpenAlexW2043794388MaRDI QIDQ1593640
Publication date: 18 November 2001
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/pl00005857
total scalar curvature functional\(n\)-dimensional critical pointsspace of metrics of constant scalar curvaturevanishing \(n-1\) homology
Related Items (27)
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 ⋮ The critical point equation and contact geometry ⋮ Critical point equation on four-dimensional compact manifolds ⋮ Einstein-type structures, Besse's conjecture, and a uniqueness result for a \(\varphi \)-CPE metric in its conformal class ⋮ Rigidity of compact almost Ricci solitons and applications of Pohozaev-Schoen identity ⋮ A note on static spaces and related problems ⋮ Critical point equation and closed conformal vector fields ⋮ Certain types of metrics on almost coKähler manifolds ⋮ Critical metrics of the volume functional on three‐dimensional manifolds ⋮ Brown-York mass and positive scalar curvature. II: Besse's conjecture and related problems ⋮ On Einstein-type almost Kenmotsu manifolds ⋮ Critical point equation on almost f-cosymplectic manifolds ⋮ A study of critical point equation and *-critical point equation on Sasakian manifolds ⋮ Critical point equation on almost Kenmotsu manifolds ⋮ Unnamed Item ⋮ A note on critical point metrics of the total scalar curvature functional ⋮ The classification of static spaces and related problems ⋮ On Einstein-type contact metric manifolds ⋮ Rigidity of the critical point equation ⋮ Static perfect fluid space-time on compact manifolds ⋮ 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 ⋮ \(*\)-Critical point equation on a class of almost Kenmotsu manifolds ⋮ Besse conjecture for compact manifolds with pinched curvature ⋮ Remarks on critical point metrics of the total scalar curvature functional
This page was built for publication: Critical points of the total scalar curvature functional on the space of metrics of constant scalar curvature