On the negativity of Ricci curvatures of complete conformal metrics

DOI10.1007/s42543-020-00028-0zbMath1468.53034arXiv1702.03652OpenAlexW3110839704MaRDI QIDQ2035425

Qing Han, Weiming Shen

Publication date: 24 June 2021

Published in: Peking Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.03652

zbMATH Keywords

singular Yamabe problemnegative sectional curvaturesnegativity of Ricci curvatures

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Conformal structures on manifolds (53C18)

Related Items (1)

Rigidity and gap theorems for Liouville's equation

Cites Work

• Existence of complete conformal metrics of negative Ricci curvature on manifolds with boundary
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• Complete conformal metrics with negative scalar curvature in compact Riemannian manifolds
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• Complete Conformal Metrics of Negative Ricci Curvature on Compact Manifolds with Boundary
• The Yamabe problem
• The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation
• A study of the singularities of solutions of a class of nonlinear elliptic partial differential equation
• YAMABE TYPE EQUATIONS ON THREE DIMENSIONAL RIEMANNIAN MANIFOLDS
• Moduli Spaces of Singular Yamabe Metrics
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