Isometric immersions of Euclidean plane into Euclidean 4-space with vanishing normal curvature

DOI10.2748/tmj/1264084498zbMath1187.53063OpenAlexW1993096795MaRDI QIDQ961447

Norio Shimakura, Hiroshi Mori

Publication date: 30 March 2010

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1264084498

zbMATH Keywords

isometric immersionsasymptotic analysisGoursat problemstructure equations

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (1)

Examples of isometric immersions of \(\mathbf{R}^2\) into \(\mathbf{R}^4\) with vanishing normal curvature

Cites Work

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• On compositions of isometric immersions
• A nonautonomous Olech type result
• Local isometric immersions of R2 into R4.
• On the Isometric Immersions in Euclidean Space of Manifolds with Nonnegative Sectional Curvatures. II
• Transcendental Numbers. (AM-16)
• Some theorems on the isometric imbedding of compact Riemann manifolds in Euclidean space

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