Obstructions for Clifford structures on vector bundles

DOI10.1007/BF01173915zbMath0458.57015MaRDI QIDQ1151641

Ulrich Schwardmann

Publication date: 1982

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

Full work available at URL: https://eudml.org/doc/173128

zbMATH Keywords

Stiefel Whitney classesobstruction classes for the existence of Clifford structures on vector bundles

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Characteristic classes and numbers in differential topology (57R20) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Sectioning fiber spaces and bundles in algebraic topology (55S40)

Cites Work

• Unnamed Item
• Clifford modules
• Gruppentheoretischer Beweis des Satzes von Hurwitz-Radon über die Komposition quadratischer Formen
• On Sphere-Bundles II