Nonexistence of Almost Complex Structures on Grassmann Manifolds

DOI10.2307/2048470zbMath0725.57011OpenAlexW4252451663MaRDI QIDQ5201927

Parameswaran Sankaran

Publication date: 1991

Full work available at URL: https://doi.org/10.2307/2048470

zbMATH Keywords

characteristic classesK-theoryoriented Grassmann manifoldsweakly almost complex structure

Mathematics Subject Classification ID

Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15)

Related Items (3)

Unnamed Item ⋮ Almost complex structures on quaternion-Kähler manifolds and inner symmetric spaces ⋮ Almost complex and complex structures on real projective Stiefel manifolds

Cites Work

• Note on the existence of almost complex structures on compact manifolds
• Stable parallelizability of partially oriented flag manifolds
• Non-existence of almost complex structures on quaternionic projective spaces
• Characteristic Classes and Homogeneous Spaces, I
• Mathematische Annalen
• Characteristic Classes. (AM-76)
• A Formula for the Tangent Bundle of Flag Manifolds and Related Manifolds
• On the Tangent Bundle of a Grassman Manifold
• Groupes de Lie et Puissances Reduites de Steenrod
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