Equivariant frame fields on spheres with complementary equivariant complex structures

Önder, Turgut

doi:10.1007/bf02568001

Search citation statements

Order By: Relevance

Paper Sections

Select...

Reduction To a Question About Jo G (Fp K−1 )1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2001

2006

Publication Types

Select...

Article3

Relationship

Self Cite0

Independent3

Authors

Journals

Cited by 3 publications

(1 citation statement)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…(ii) For F = R, this is proved in Lemma 3.3 of Namboodiri [9]. For F = C, this is proved in Lemma 3.1 of Önder [12]. For F = H, i : V H k (H n ) → EH k (H n ) is (8n − 8k + 5)-equivalence by Lemma 2.11 of [7].…”

Section: Reduction To a Question About Jo G (Fp K−1 )mentioning

confidence: 85%

Real, complex and quaternionic equivariant vector fields on spheres

Obiedat

2006

Topology and its Applications

View full text Add to dashboard Cite

The equivariant real, complex and quaternionic vector fields on spheres problem is reduced to a question about the equivariant J -groups of the projective spaces. As an application of this reduction, we give a generalization of the results of Namboodiri [U. Namboodiri, Equivariant vector fields on spheres, Trans. Amer. Math. Soc. 278 (2) (1983) 431-460], on equivariant real vector fields, and Ön-der [T. Önder, Equivariant cross sections of complex Stiefel manifolds, Topology Appl. 109 (2001) 107-125], on equivariant complex vector fields, which avoids the restriction that the representation containing the sphere has enough orbit types.

show abstract

Section: Reduction To a Question About Jo G (Fp K−1 )mentioning

confidence: 85%