Real, complex and quaternionic equivariant vector fields on spheres |
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Authors: | Mohammad Obiedat |
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Institution: | Department of Mathematics and Computer Science, Gallaudet University, 800 Florida Avenue NE, Washington, DC 20002-3695, USA |
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Abstract: | 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 Önder 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. |
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Keywords: | primary 57R25 57S25 secondary 55R25 55R50 55R91 |
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