Factorization of Curvature Operators

DOI10.2307/1998025zbMath0445.53014OpenAlexW4243100479MaRDI QIDQ3889718

Jaak Vilms

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/1998025

zbMATH Keywords

curvature operatorGauss equationisometric embeddabilityhypersurface of Euclidean space

Mathematics Subject Classification ID

Local submanifolds (53B25) Local Riemannian geometry (53B20) Exterior algebra, Grassmann algebras (15A75)

Related Items

The Gauss equations and rigidity of isometric embeddings, Projective dynamics and first integrals, Decomposability Preserving Curvature Operators with an Application to Einstein Manifolds, On the Gauss equation of an isometric immersion

Cites Work

• Local isometric imbedding of Riemannian \(n\)-manifolds into Euclidean \((n+1)\)-space
• Riemann spaces of class one and their characterization
• On the geometry of algebraic homogeneous spaces
• On Automorphisms of A Kählerian Structure
• Curvature operators on the exterior algebra1^†
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