On isometric and minimal isometric embeddings

DOI10.1215/S0012-7094-97-08923-7zbMath1016.53046arXivdg-ga/9508004OpenAlexW2024562751WikidataQ125942853 ScholiaQ125942853MaRDI QIDQ1373186

Thomas A. Ivey, Joseph M. Landsberg

Publication date: 29 October 2002

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/dg-ga/9508004

zbMATH Keywords

isometric embeddingminimal submanifoldsexterior differential systemsmoving frames

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

• The Gauss equations and rigidity of isometric embeddings
• Differential-geometric characterizations of complete intersections
• Isometric immersions of space forms in space forms
• Riemann spaces of class one and their characterization
• Isometric imbedding of complex manifolds
• Algebraic geometry and local differential geometry
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