Nash \(C^ 1\)-embedding theorem for Carnot-Carathéodory metrics

DOI10.1016/0926-2245(95)00010-2zbMath0831.53022OpenAlexW2132151362WikidataQ115362571 ScholiaQ115362571MaRDI QIDQ1894748

Giuseppina D'Ambra

Publication date: 12 February 1996

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0926-2245(95)00010-2

zbMATH Keywords

contact structureisometric immersionCarnot-Caratheodory metric

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items

On the regularity of weak contact \(p\)-harmonic maps, Lipschitz and path isometric embeddings of metric spaces, Geometric, algebraic, and analytic descendants of Nash isometric embedding theorems, Non-free isometric immersions of Riemannian manifolds, Convex integration theory without integration, A symplectic version of Nash \(C^ 1\)-isometric embedding theorem.

Cites Work

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• On Carnot-Caratheodory metrics
• Some global properties of contact structures
• Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
• \(C^1\) isometric imbeddings
• TOPOLOGICAL CHARACTERIZATION OF STEIN MANIFOLDS OF DIMENSION >2
• Partial Differential Relations