Curvature operators on the exterior algebra1†

DOI10.1080/03081087908817264zbMath0402.53026OpenAlexW2025061358MaRDI QIDQ4186954

Howard Jacobowitz

Publication date: 1979

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087908817264

zbMATH Keywords

Riemannian ManifoldCurvature OperatorsBianchi ConditionExterior Algebra

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (8)

Factorization of Curvature Operators ⋮ Curvature operators which preserve normal spaces ⋮ Nonnegativity of the curvature operator and isotropy for isometric immersions ⋮ On local isometric immersions of Riemannian symmetric spaces ⋮ Strongly positive curvature ⋮ Decomposability Preserving Curvature Operators with an Application to Einstein Manifolds ⋮ On local isometric embeddings of three-dimensional Lie groups ⋮ On the Gauss equation of an isometric immersion

Cites Work

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• Sectional curvatures and characteristic classes
• On the Bianchi identities
• Isometric imbedding of Riemann manifolds in a Riemann manifold
• Embeddings and immersions in Riemannian geometry
• Spaces admitting gravitational fields
• Global theorems in Riemannian geometry

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