Deforming metrics with negative curvature by a fully nonlinear flow

DOI10.1007/s00526-004-0287-4zbMath1069.53054OpenAlexW2043969545MaRDI QIDQ1776568

Weimin Sheng, Jiayu Li

Publication date: 12 May 2005

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-004-0287-4

zbMATH Keywords

conformal metricmodified Schouten tensorconstant \(\sigma_k\)-scalar curvature

Mathematics Subject Classification ID

Related Items (13)

A flow approach to the generalized Loewner-Nirenberg problem of the \(\sigma_k\)-Ricci equation ⋮ Prescribing curvature problem of Bakry-Émery Ricci tensor ⋮ Complete conformal metrics of negative Ricci curvature in open manifolds ⋮ Regularity of viscosity solutions of the σk$\sigma _k$‐Loewner–Nirenberg problem ⋮ On fully nonlinear Loewner-Nirenberg problem of Ricci curvature ⋮ Dirichlet problem for Krylov type equation in conformal geometry ⋮ Prescribing curvature problems on the Bakry-Emery Ricci tensor of a compact manifold with boundary ⋮ A class of fully nonlinear equations arising from conformal geometry ⋮ Complete conformal metrics of negative Ricci curvature on Euclidean spaces ⋮ Existence and uniqueness to a fully nonlinear version of the Loewner-Nirenberg problem ⋮ Admissible metrics in the $\sigma_{k}$-Yamabe equation ⋮ Local pointwise second derivative estimates for strong solutions to the \(\sigma_k\)-Yamabe equation on Euclidean domains ⋮ Prescribing the symmetric function of the eigenvalues of the Schouten tensor

Cites Work

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