Lectures on the Isometric Embedding Problem $$(M^{n},g)\rightarrow \mathrm {I\!R\!}^{m},\,m=\frac{n}{2}(n+1)$$

DOI10.1007/978-3-319-18573-6_4zbMath1457.53002OpenAlexW2227410875MaRDI QIDQ3449737

Marshall Slemrod

Publication date: 5 November 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-18573-6_4

zbMATH Keywords

balance lawsisometric embedding into the \(m=\frac{n}{2}(n+1)\)-dimensional Euclidean space

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Global Riemannian geometry, including pinching (53C20) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry (53-01) Embeddings in differential topology (57R40) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02)

Related Items (3)

Manifolds in a Theory of Microstructures ⋮ Fluids, elasticity, geometry, and the existence of wrinkled solutions ⋮ Linear and Nonlinear Waves in Gas Dynamics

Cites Work

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• The linearized system for isometric embeddings and its characteristic variety
• The imbedding problem for Riemannian manifolds
• Characteristics and existence of isometric embeddings
• A two-dimensional mapping with a strange attractor
• Local isometric embedding problem of Riemannian 3-manifold into \(R^ 6\)
• On the interdependency of the Gauss-Codazzi-Ricci equations of local isometric embedding
• The Local Isometric Embedding Problem for 3-Dimensional Riemannian Manifolds with Cleanly Vanishing Curvature
• Symmetric positive linear differential equations
• Subspaces Of Riemannian Spaces

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