Differential Systems and Isometric Embeddings.(AM-114)

DOI10.1515/9781400882106zbMath0637.53001OpenAlexW2495553777MaRDI QIDQ3776954

Gary R. Jensen, Phillip A. Griffiths

Publication date: 1987

Full work available at URL: https://doi.org/10.1515/9781400882106

zbMATH Keywords

isometric embeddingcharacteristic varietyrigidity theoremCauchy-Riemann structuresPfaffian differential systems

Mathematics Subject Classification ID

Pfaffian systems (58A17) Global submanifolds (53C40) Local submanifolds (53B25) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02)

Related Items (10)

Compatibility equations for isometric embeddings of Riemannian manifolds ⋮ Isometric immersions of space forms and soliton theory ⋮ Method of characteristics and first integrals for systems of quasi-linear partial differential equations of first order ⋮ On extendability of isometric immersions of spheres ⋮ Global embedding of BTZ spacetime using generalized method of symmetric embeddings construction ⋮ Invariant modules and the reduction of nonlinear partial differential equations to dynamical systems ⋮ Local geometry of Levi-forms associated with the existence of complex submanifolds and the minimality of generic CR manifolds ⋮ The Local Isometric Embedding Problem for 3-Dimensional Riemannian Manifolds with Cleanly Vanishing Curvature ⋮ Isometric immersions of surfaces: classical approaches and integrability ⋮ Bäcklund transformations for Darboux integrable differential systems

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