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A note on immersing manifolds in euclidean spaces

Published online by Cambridge University Press:  17 April 2009

Ng Tze Beng
Ng Tze Beng
Affiliation:
Department of Mathematics, National University of Singapore, Kent Ridge, Singapore 0511
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Abstract

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Let M be a closed, connected smooth and 3-connected mod 2 (that is Hi(M;ℤ2) = 0, 0 < i ≤ 3) manifold of dimension n = 7 + 8k. Using a combination of cohomology operations on certain cohomology classes of M and on the Thom class of the stable normal bundle of M we show that under certain conditions M immerses in R2n−8. This extends previously known results for such a general manifold when the number of 1's in the dyadic expansion of n is less than 8.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 36 , Issue 2 , October 1987 , pp. 215 - 226
Copyright
Copyright © Australian Mathematical Society 1987

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