On the nonexistence of Riemannian submersions from CP(7) and QP(3)

Jack Ucci

doi:10.1090/S0002-9939-1983-0702302-8

On the nonexistence of Riemannian submersions from CP(7) and QP(3)

Jack Ucci

Department of Mathematics

Research output: Contribution to journal › Article

6 Scopus citations

Abstract

We show the nonexistence of a Serre fibration of the form CP(3) → CP(7) → S⁸.

Original language	English (US)
Pages (from-to)	698-700
Number of pages	3
Journal	Proceedings of the American Mathematical Society
Volume	88
Issue number	4
DOIs	https://doi.org/10.1090/S0002-9939-1983-0702302-8
State	Published - Aug 1983

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Keywords

Complex and quaternionic projective spaces
Differentiable fibre bundle
G-invariant mapping
Riemannian submersion
Serre fibration
Steenrod cohomology operation

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

Cite this

Ucci, J. (1983). On the nonexistence of Riemannian submersions from CP(7) and QP(3). Proceedings of the American Mathematical Society, 88(4), 698-700. https://doi.org/10.1090/S0002-9939-1983-0702302-8

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KW - Steenrod cohomology operation

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Access to Document

10.1090/S0002-9939-1983-0702302-8