Complete conformal metrics of negative Ricci curvature on Euclidean spaces

DOI10.1007/s12220-016-9703-1zbMath1362.53045OpenAlexW2340376960MaRDI QIDQ522504

Zhenan Sui

Publication date: 13 April 2017

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-016-9703-1

zbMATH Keywords

Ricci curvaturesubsolutionsupersolutioncomplete conformal metrics

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (7)

On the \(\sigma_2\)-Nirenberg problem on \(\mathbb{S}^2\) ⋮ Regularity of viscosity solutions of the σk$\sigma _k$‐Loewner–Nirenberg problem ⋮ A Liouville theorem for Möbius invariant equations ⋮ On fully nonlinear Loewner-Nirenberg problem of Ricci curvature ⋮ On the σκ -Nirenberg problem ⋮ Existence and uniqueness to a fully nonlinear version of the Loewner-Nirenberg problem ⋮ Local pointwise second derivative estimates for strong solutions to the \(\sigma_k\)-Yamabe equation on Euclidean domains

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