Immersing projective spaces in Euclidean space-Reference-Cited by-同舟云学术

Immersing projective spaces in Euclidean space

Published:1991 Issue:1-2 Volume:117 Page:155-170
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Crabb M. C.

Abstract

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

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference16 articles.

1. On immersions CPn → R4n−2α(n);Sigrist;Lecture Notes in Math.,1978

2. Elliptische differentialoperatoren und Ganzzahligkeitssätze für charakteristische Zahlen

3. ON IMMERSING COMPLEX PROJECTIVE (4k+3)-SPACE IN EUCLIDEAN SPACE

4. On the immersion problem for real projective spaces

5. The stable geometric dimension of vector bundles over real projective spaces

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