On the perturbation problem associated to isometric embeddings of Riemannian manifolds

DOI10.1007/BF00137403zbMath0691.53006OpenAlexW2077047537WikidataQ115395198 ScholiaQ115395198MaRDI QIDQ582587

Matthias Günther

Publication date: 1989

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00137403

zbMATH Keywords

differential equationsisometric embeddingimplicit function theoremcorrection term

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Local submanifolds (53B25)

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A comparison theorem for cosmological lightcones ⋮ Landau damping: paraproducts and Gevrey regularity ⋮ Internal Controllability of Systems of Semilinear Coupled One-Dimensional Wave Equations with One Control ⋮ Isometric embeddings in imaging and vision: facts and fiction ⋮ Robust index bounds for minimal hypersurfaces of isoparametric submanifolds and symmetric spaces ⋮ The Wasserstein geometry of nonlinear σ models and the Hamilton–Perelman Ricci flow ⋮ Weak continuity of the Gauss-Codazzi-Ricci system for isometric embedding ⋮ Compatibility of Gauß maps with metrics ⋮ Singularly perturbed ordinary differential equations ⋮ On the Nash-Moser Iteration Technique ⋮ Causality theory for closed cone structures with applications ⋮ Relative isometric embeddings of Riemannian manifolds ⋮ A third order dispersive flow for closed curves into almost Hermitian manifolds

Cites Work

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• The imbedding problem for Riemannian manifolds
• The boundary problems of physical geodesy
• Partial Differential Relations
• The inverse function theorem of Nash and Moser
• Generalized implicit function theorems with applications to some small divisor problems, I
• Champs spinoriels et propagateurs en relativité générale

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