Euler classes of vector bundles over iterated suspensions of real projective spaces

Article Type

Research Article

Publication Title

Mathematica Slovaca

Abstract

We show that when k 2, 4, 8 the Euler class of any vector bundle over ΣkRPm is zero if the rank of the bundle is not m + k, provided that m 3 when k = 6. If k = 2, 4, 8 we show that the Euler class of any vector bundle over ΣkRPm is zero whenever the rank of the bundle is not kr + k, provided that m 6, 7 when k = 2, where r is the largest integer such that kr ≤ m.

First Page

677

Last Page

684

DOI

10.1515/ms-2017-0134

Publication Date

6-26-2018

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