Isometric embedding of a smooth compact manifold with a metric of low regularity

DOI10.1007/BF02385981zbMath0381.35014OpenAlexW2063631184MaRDI QIDQ1248194

Anders Källen

Publication date: 1978

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02385981

Mathematics Subject Classification ID

Nonlinear first-order PDEs (35F20) Global Riemannian geometry, including pinching (53C20)

Related Items

Rigidity and flexibility of isometric extensions, Geometric, algebraic, and analytic descendants of Nash isometric embedding theorems, High dimensionality and h-principle in PDE, On rigged immersions, On the regularity of solutions in convex integration theory, The ℎ-principle and the equations of fluid dynamics, \(C^{1, \alpha }\) isometric embeddings of polar caps, Embedding problems: Geometric and topological aspects

Cites Work

• The imbedding problem for Riemannian manifolds
• The boundary problems of physical geodesy
• Implicit function theorems and isometric embeddings
• \(C^1\) isometric imbeddings
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