Whitehead products in the complex Stiefel manifolds
1983 ◽
Vol 26
(2)
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pp. 241-251
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The complex Stiefel manifoldWn,k, wheren≦k≦1, is a space whose points arek-frames inCn. 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].
1967 ◽
Vol 73
(5)
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pp. 630-634
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1959 ◽
Vol 13
(2)
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pp. 152-156
1965 ◽
Vol 71
(4)
◽
pp. 661-668
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1973 ◽
Vol 27
(1)
◽
pp. 135-148
2019 ◽
Vol 150
(2)
◽
pp. 549-567
Keyword(s):
1960 ◽
Vol 56
(4)
◽
pp. 342-353
◽
1972 ◽
Vol 25
(2)
◽
pp. 304-317
◽
1958 ◽
Vol s3-8
(4)
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pp. 507-535
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