Complex structures in real vector bundles over 8-manifolds

DOI10.1007/s00229-017-0995-7zbMath1400.57024OpenAlexW2781665776MaRDI QIDQ1785559

Huijun Yang

Publication date: 1 October 2018

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-017-0995-7

zbMATH Keywords

Bockstein homomorphismcharacteristic classSteenrod square

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Topology of vector bundles and fiber bundles (57R22) Riemann-Roch theorems, Chern characters (19L10)

Cites Work

• Almost complex structures on quaternion-Kähler manifolds and inner symmetric spaces
• Almost complex structures on \((n-1)\)-connected \(2n\)-manifolds
• Obstruction theory on 8-manifolds
• On complex structures in 8-dimensional vector bundles
• A note on stable complex structures on real vector bundles over manifolds
• Almost complex structures on eight and ten dimensional manifolds
• On the Stiefel-Whitney Classes of a Manifold. II
• Riemann-Roch theorems for differentiable manifolds
• Complex Structures on Real Vector Bundles
• Obstructions to the existence of almost complex structures
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