Isometric embeddings of surfaces with nonnegative curvature in \(\mathbb{R}^ 3\)
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Publication:1196416
DOI10.1215/S0012-7094-92-06717-2zbMath0777.53006MaRDI QIDQ1196416
Publication date: 14 December 1992
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Related Items (11)
Isometric embedding of the 2-sphere with non negative curvature in \(\mathbb{R}^ 3\) ⋮ Geometry, analysis, and morphogenesis: Problems and prospects ⋮ Isometric embedding in \(R^3\) of complete noncompact nonnegatively curved surfaces ⋮ Isometric embedding with nonnegative Gauss curvature under the graph setting ⋮ Regularity of subelliptic Monge-Ampère equations ⋮ Curvature estimates for immersed hypersurfaces in Riemannian manifolds ⋮ A Liouville Theorem for Solutions of Degenerate Monge-Ampère Equations ⋮ A higher-dimensional partial Legendre transform, and regularity of degenerate Monge-Ampère equations ⋮ Regularity of subelliptic Monge-Ampère equations in the plane ⋮ Scaling laws for non-Euclidean plates and theW2,2isometric immersions of Riemannian metrics ⋮ The Weyl problem of isometric immersions revisited
Cites Work
- On the total curvature of immersed manifolds. II
- Isometric immersions with semi-definite second quadratic forms
- Improper affine hyperspheres of convex type and a generalization of a theorem by K. Jörgens
- Über die Starrheit der Eiflächen
- On the Total Curvature of Immersed Manifolds
- The dirichlet problem for nonlinear second-order elliptic equations I. Monge-ampégre equation
- On the Existence of a Closed Convex Surface Realizing a Given Riemannian Metric
- The Weyl and Minkowski problems in differential geometry in the large
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