The semi-global isometric embedding of surfaces with curvature changing signs stably

DOI10.1090/PROC/14597zbMath1426.53010arXiv2006.04507OpenAlexW2921449645WikidataQ128233510 ScholiaQ128233510MaRDI QIDQ5232930

Wentao Cao

Publication date: 13 September 2019

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

Full work available at URL: https://arxiv.org/abs/2006.04507

zbMATH Keywords

isometric embeddingDarboux equationsymmetric positive systemsemi-globalequation of mixed typestably

Mathematics Subject Classification ID

Embeddings and immersions in topological manifolds (57N35) Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Global submanifolds (53C40)

Related Items (1)

Rigidity and flexibility of isometric extensions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Isometric immersions and compensated compactness
• BV weak solutions to Gauss-Codazzi system for isometric immersions
• The imbedding problem for Riemannian manifolds
• Local isometric embedding of surfaces with Gauss curvature changing sign stably across a curve
• The local isometric embedding in \(R^ 3\) of 2-dimensional Riemannian manifolds with nonnegative curvature
• Surface in \(R^ 3\) with prescribed Gauss curvature
• The Weyl problem with nonnegative Gauss curvature
• Local isometric embedding of surfaces with nonpositive Gaussian curvature.
• Isometric embedding of the 2-sphere with non negative curvature in \(\mathbb{R}^ 3\)
• Realization in \(\mathbb{R}^ 3\) of complete Riemannian manifolds with negative curvature
• The semi-global isometric embedding of surfaces with Gaussian curvature changing sign cleanly
• \(C^1\) isometric imbeddings
• Symmetric positive linear differential equations
• The local isometric embedding inR3 of two-dimensional riemannian manifolds with gaussian curvature changing sign cleanly
• Seminar on Differential Geometry. (AM-102)
• On the isometric embedding of surfaces with Gauss curvature changing sign cleanly
• The Weyl and Minkowski problems in differential geometry in the large

This page was built for publication: The semi-global isometric embedding of surfaces with curvature changing signs stably