Curvature functions for 2-manifolds with negative Euler characteristic

DOI10.1090/S0002-9904-1972-13006-4zbMath0255.53028OpenAlexW2125969476MaRDI QIDQ5669929

Jerry L. Kazdan, Frank W. Warner

Publication date: 1972

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1972-13006-4

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Global Riemannian geometry, including pinching (53C20) Global differential geometry (53C99) Partial differential equations on manifolds; differential operators (58J99) Classical differential geometry (53A99)

Related Items (5)

Manifolds with preassigned curvature—a survey ⋮ Weil-Petersson geometry for families of hyperbolic conical Riemann surfaces ⋮ Existence theorems, qualitative results and priori bounds for a class of non-linear Dirichlet problems ⋮ Variation of cone metrics on Riemann surfaces ⋮ Manifolds of Riemannian metrics with prescribed scalar curvature

Cites Work

• Scalar curvature and conformal deformation of Riemannian structure
• The generalized Minkowski problem in differential geometry in the large
• Remarks on some quasilinear elliptic equations
• Integrability conditions for $\Delta u = k - Ke^{\alpha u}$ with applications to Riemannian geometry
• Multiple Stable Solutions of Nonlinear Boundary Value Problems Arising in Chemical Reactor Theory
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