Minimization of scalar curvature in conformal geometry

DOI10.1007/s10455-016-9524-2zbMath1356.49078OpenAlexW2518198087WikidataQ59615578 ScholiaQ59615578MaRDI QIDQ507126

Zisis N. Sakellaris

Publication date: 3 February 2017

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-016-9524-2

zbMATH Keywords

variational problemscalar curvatureconformal geometry

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20)

Related Items (7)

Structure and classification results for the ∞-elastica problem ⋮ Second-order \(L^\infty\) variational problems and the \(\infty\)-polylaplacian ⋮ The eigenvalue problem for the \(\infty \)-Bilaplacian ⋮ Variational Problems in L^∞ Involving Semilinear Second Order Differential Operators ⋮ The \(\infty\)-elastica problem on a Riemannian manifold ⋮ Existence, uniqueness and structure of second order absolute minimisers ⋮ The streamlines of ∞-harmonic functions obey the inverse mean curvature flow

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• Convergence of the Yamabe flow for large energies

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