On stable parallelizability of \(G_{k,n}\) and related manifolds

DOI10.1007/BF01456946zbMath0465.57008OpenAlexW2058553208MaRDI QIDQ1154712

Isabel Dotti de Miatello, Roberto J. Miatello

Publication date: 1982

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01456946

zbMATH Keywords

stable parallelizability of homogeneous spacestotal Stiefel-Whitney class of the Grassmann manifold \(G_{k,n}\)

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Characteristic classes and numbers in differential topology (57R20)

Related Items (6)

Codimension two immersions of oriented Grassmann manifolds ⋮ Unnamed Item ⋮ Topology and curvature of isoparametric families in spheres ⋮ Parallelizability of homogeneous spaces. II ⋮ Semicharacteristics of oriented Grassmannians ⋮ Vector fields on real flag manifolds

Cites Work

• Courbure intégrale généralisée et homotopie
• Parallelizability of Grassmann manifolds
• Vector fields on \(\pi\)-manifolds
• Semi-characteristics and cobordism
• On the multiplication in the characteristic ring of a sphere bundle
• Characteristic Classes. (AM-76)
• A Formula for the Tangent Bundle of Flag Manifolds and Related Manifolds
• Some non-embedding theorems for the Grassmann manifolds G₂,_n and G₃,_n
• On the Tangent Bundle of a Grassman Manifold
• Differentiable Actions of Compact Connected Classical Groups I
• Unnamed Item

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