On trivialities of euler classes of oriented vector bundles over manifolds

Article Type

Research Article

Publication Title

Homology, Homotopy and Applications

Abstract

We study manifolds on which all oriented bundles have trivial Euler class. In this note, we give a complete a characterization of such manifolds in dimension less than six, in terms of their cohomology groups, and obtain some partial results for manifolds of dimension 6.

First Page

215

Last Page

232

DOI

10.4310/HHA.2020.v22.n1.a13

Publication Date

1-1-2020

Comments

Open Access, Bronze

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