A direct approach to the determination of Gaussian and scalar curvature functions

DOI10.1007/BF01425558zbMath0297.53021MaRDI QIDQ1214171

Jerry L. Kazdan, Frank W. Warner

Publication date: 1975

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142323

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Global Riemannian geometry, including pinching (53C20) Partial differential equations on manifolds; differential operators (58J99)

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Cites Work

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• Scalar curvature and conformal deformation of Riemannian structure
• Existence and conformal deformation of metrics with prescribed Gaussian and scalar curvatures
• Curvature functions for open 2-manifolds
• Harmonic spinors
• Curvature functions for compact 2-manifolds
• Manifolds of Riemannian metrics with prescribed scalar curvature