Publication Date:
2006-10-13
Description:
A generalization of classical theorems on the existence of sections of real, complex and quaternionic Stiefel manifolds over spheres is proved. We obtain a complete list of Lie group homomorphisms $
ho : G o G_n$, where $G_n$ is one of the groups $SO(n)$, $SU(n)$ or $Sp(n)$ and $G$ is one of the groups $SO(k)$, $SU(k)$ or $Sp(k)$, which reduce the structure group $G_n$ in the fibre bundle $G_n o G_{n + 1} o G_{n + 1} / G_n$.
Print ISSN:
0024-6115
Electronic ISSN:
1460-244X
Topics:
Mathematics
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