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Immersing projective spaces in Euclidean space

Published online by Cambridge University Press:  14 November 2011

M. C. Crabb
M. C. Crabb
Affiliation:
Department of Mathematics, University of Aberdeen, Aberdeen AB9 2TY, Scotland, U.K
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Synopsis

Using the KOℝ/2-theoretic obstruction theory developed in [4] and [5], necessary and sufficient conditions are derived for quaternionic projective spaces ℍPk and odd-dimensional complex projective spaces ℂP2k+1, of real dimension m say, to immerse in Euclidean space ℝ2m−1 in the range l ≦ 14. The results refine those obtained by Davis and Mahowald ([10, 11]) and earlier authors.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 117 , Issue 1-2 , 1991 , pp. 155 - 170
Copyright
Copyright © Royal Society of Edinburgh 1991

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