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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


On the nonexistence of Riemannian submersions from $ {\bf C}{\rm P}(7)$ and $ {\rm QP}(3)$

Author: Jack Ucci
Journal: Proc. Amer. Math. Soc. 88 (1983), 698-700
MSC: Primary 55R10
MathSciNet review: 702302
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Abstract: We show the nonexistence of a Serre fibration of the form $ {\text{CP}}(3) \to {\text{CP}}(7) \to {S^8}$.

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PII: S 0002-9939(1983)0702302-8
Keywords: Serre fibration, differentiable fibre bundle, complex and quaternionic projective spaces, $ G$-invariant mapping, Steenrod cohomology operation, Riemannian submersion
Article copyright: © Copyright 1983 American Mathematical Society