Real, complex and quaternionic equivariant vector fields on spheres

DOI10.1016/j.topol.2005.09.001zbMath1098.57015OpenAlexW2056568847MaRDI QIDQ2498043

Mohammad Obiedat

Publication date: 4 August 2006

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

Full work available at URL: https://doi.org/10.1016/j.topol.2005.09.001

zbMATH Keywords

Adams operationsStiefel manifoldsequivariant J-groupsequivariant vector fieldsHopf line bundles

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Stable classes of vector space bundles in algebraic topology and relations to (K)-theory (55R50) Equivariant fiber spaces and bundles in algebraic topology (55R91) Vector fields, frame fields in differential topology (57R25) Equivariant algebraic topology of manifolds (57R91) Groups acting on specific manifolds (57S25)

Related Items

Mass partitions via equivariant sections of Stiefel bundles ⋮ A note on the construction of complex and quaternionic vector fields on spheres ⋮ Real, complex and quaternionic equivariant vector fields on spheres

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the equivariant J-groups. I
• The equivariant Dold theorem mod k and the Adams conjecture
• Transformation groups and representation theory
• Equivariant frame fields on spheres with complementary equivariant complex structures
• Real, complex and quaternionic equivariant vector fields on spheres
• Equivariant Vector Fields on Spheres
• Equivariant Fibrations and Transfer
• Cross-Sections of Symplectic Stiefel Manifolds
• VECTOR FIELDS ON SPHERES AND A GENERALIZATION
• The Span of Spherical Space Forms
• Vector fields on spheres
• Equivariant cross sections of complex Stiefel manifolds