On the Gauss equation of an isometric immersion

DOI10.1215/S0012-7094-84-05121-4zbMath0545.53016MaRDI QIDQ797155

Jaak Vilms, Siegfried Steiner, Eberhard Teufel

Publication date: 1984

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

zbMATH Keywords

embedding problemcurvature like tensorGauß equation

Mathematics Subject Classification ID

Local submanifolds (53B25) Methods of local Riemannian geometry (53B21)

Related Items (4)

Compatibility equations for isometric embeddings of Riemannian manifolds ⋮ Affine embeddings of flat compact manifolds. I ⋮ Isometric embeddings of spherical spaceforms with cyclic fundamental groups ⋮ Riemannsche Arealstrukturen und multiquadratische Formen. (Riemannian areal structures and multiquadratic forms)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Gauss equations and rigidity of isometric embeddings
• The imbedding problem for Riemannian manifolds
• Isometric immersions of Riemannian spaces in Euclidean spaces
• Beiträge zum Klassenproblem der quadratischen Differentialformen
• Riemann spaces of class one and their characterization
• Factorization of Curvature Operators
• Some isometric embedding and rigidity results for Riemannian manifolds
• Curvature operators on the exterior algebra1^†
• Embeddings and immersions in Riemannian geometry
• Rigidity for Spaces of Class Greater Than One
• On the existence of solutions of a system of quadratic equations and its geometrical application

This page was built for publication: On the Gauss equation of an isometric immersion