Ricci curvature of conformal deformation on compact 2-manifolds

DOI10.3934/cpaa.2020140zbMath1437.53027OpenAlexW3013283744MaRDI QIDQ2177000

Yoon-Tae Jung, Soo-Young Lee, Eun Hee Choi

Publication date: 6 May 2020

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2020140

zbMATH Keywords

Ricci curvatureEinstein manifoldconformal deformation

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Elliptic equations on manifolds, general theory (58J05) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Deformations of general structures on manifolds (58H15) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

• Curvature functions for compact 2-manifolds
• Riemannian structures of prescribed Gaussian curvature for compact 2- manifolds
• Kazdan-Warner equation on infinite graphs
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