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Whitehead products in the complex Stiefel manifolds

Published online by Cambridge University Press:  20 January 2009

Yasukuni Furukawa
Yasukuni Furukawa
Affiliation:
Department of Mathematics, Aichi University of Education, Kariya, Japan 448
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The complex Stiefel manifold Wn,k, where n≦k≦1, is a space whose points are k-frames in Cn. By using the formula of McCarty [4], we will make the calculations of the Whitehead products in the groups π*(Wn,k). The case of real and quaternionic will be treated by Nomura and Furukawa [7]. The product [[η],j1l] appears as generator of the isotropy group of the identity map of Stiefel manifolds. In this note we use freely the results of the 2-components of the homotopy groups of real and complex Stiefel manifolds such as Paechter [8], Hoo-Mahowald [1], Nomura [5], Sigrist [9] and Nomura-Furukawa [6].

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 26 , Issue 2 , June 1983 , pp. 241 - 251
Copyright
Copyright © Edinburgh Mathematical Society 1983

References

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