Critical points of the total scalar curvature plus total mean curvature functional

DOI10.1512/iumj.2003.52.2222zbMath1050.53028OpenAlexW2036681333MaRDI QIDQ4431145

Henrique Araújo

Publication date: 13 October 2003

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1512/iumj.2003.52.2222

zbMATH Keywords

total mean curvaturecritical metrictotal scalar curvature

Mathematics Subject Classification ID

Critical metrics (58E11) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (13)

Free boundary hypersurfaces with non-positive Yamabe invariant in mean convex manifolds ⋮ Prescribed scalar curvature plus mean curvature flows in compact manifolds with boundary of negative conformal invariant ⋮ Mean curvature flow in an extended Ricci flow background ⋮ Existence of conformal metrics with constant scalar curvature and constant boundary mean curvature on compact manifolds ⋮ Spaces of Riemannian metrics ⋮ Minimal hypersurfaces and bordism of positive scalar curvature metrics ⋮ Uniqueness of solutions of the Yamabe problem on manifolds with boundary ⋮ Rigidity theorems on conformal class of compact manifolds with boundary ⋮ An Obata-type theorem on compact Einstein manifolds with boundary ⋮ Decompositions of the space of Riemannian metrics on a compact manifold with boundary ⋮ Prescribing the curvature of Riemannian manifolds with boundary ⋮ The Han-Li conjecture in constant scalar curvature and constant boundary mean curvature problem on compact manifolds ⋮ Critical metrics and curvature of metrics with unit volume or unit area of the boundary

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