Vector bundles over Grassmannians and the spectral geometry of the Riemann tensor

DOI10.1016/j.topol.2007.03.007zbMath1163.55301OpenAlexW1995128434MaRDI QIDQ2371790

Iva Stavrov

Publication date: 9 July 2007

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2007.03.007

zbMATH Keywords

GrassmanniansStiefel-Whitney classJacobi operatorskew-symmetric curvature operator

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global Riemannian geometry, including pinching (53C20) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Fiber spaces and bundles in algebraic topology (55R99)

Cites Work

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• A curvature characterization of certain locally rank-one symmetric spaces
• A short topological proof for the symmetry of 2 point homogeneous spaces
• Osserman conjecture in dimension \(n \not= 8, 16\)
• Applications of algebraic topology in bounding the rank of the skew-symmetric curvature operator
• Vector bundles over Grassmannians and the skew-symmetric curvature operator
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• KO ‐Groups of the Stiefel Manifolds V _{n , 4} and V _{n , 5}
• Characteristic Classes. (AM-76)
• Vector fields on spheres

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