A note on the topology of irreducible SO(3)-manifolds

作者：Konstantis Panagiotis^*

来源：Topology and Its Applications, 2018, 239: 81-91.

DOI：10.1016/j.topol.2018.02.011

A smooth, connected, oriented 5-manifold M is an irreducible SO(3)-manifold if there exists a rank 3 vector bundle eta over M such that the tangent bundle is isomorphic to the bundle of symmetric trace-free endomorphisms of eta. In this article we give necessary and sufficient conditions for the existence of irreducible SO(3)-manifolds. We also provide some new examples of irreducible SO(3)-manifolds.

• 出版日期2018-4-15