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 › peer-review

7 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

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

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10.1090/S0002-9939-1983-0702302-8

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title = "On the nonexistence of Riemannian submersions from CP(7) and QP(3)",

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

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

author = "Jack Ucci",

year = "1983",

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

KW - Complex and quaternionic projective spaces

KW - Differentiable fibre bundle

KW - G-invariant mapping

KW - Riemannian submersion

KW - Serre fibration

KW - Steenrod cohomology operation

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