A Kazdan-Warner type identity for the \(\sigma_{k}\) curvature

DOI10.1016/j.crma.2006.01.023zbMath1099.53028OpenAlexW2015899248MaRDI QIDQ2276569

Zheng-Chao Han

Publication date: 7 April 2006

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2006.01.023

zbMATH Keywords

Schouten tensorconformally flat Riemannian manifold

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Partial differential equations on manifolds; differential operators (58J99)

Related Items

On conformally invariant equations on \(\mathbf R^n\), \(p\)-th Kazdan-Warner equation on graph in the negative case, On the \(\sigma_2\)-Nirenberg problem on \(\mathbb{S}^2\), Asymptotic behavior of solutions to the \(\sigma_{k}\)-Yamabe equation near isolated singularities, A Liouville's theorem for some Monge-Ampère type equations, On the prescribing \(\sigma_2\) curvature equation on \(\mathbb S^4\), On the σκ -Nirenberg problem, On conformally invariant equations on \(R^n\)-II. Exponential invariance, Positive solutions of \(p\)-th Yamabe type equations on graphs, EXISTENCE OF GLOBAL SOLUTIONS TO SOME NONLINEAR EQUATIONS ON LOCALLY FINITE GRAPHS, The axisymmetric \(\sigma_k\)-Nirenberg problem, ON THE GLOBAL STRUCTURE OF CONFORMAL GRADIENT SOLITONS WITH NONNEGATIVE RICCI TENSOR, Triviality results for compact \(k\)-Yamabe solitons, Local pointwise second derivative estimates for strong solutions to the \(\sigma_k\)-Yamabe equation on Euclidean domains, Triviality results for quasi \(k\)-Yamabe solitons

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