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

2015/08/25 by Panagiotis Konstantis, Konstantis, Panagiotis · 1 citation
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Geometric and Algebraic Topology #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.1508.06150

Abstract

We give necessary and sufficient topological conditions for the existence of an irreducible \rm SO(3)-structure on a 5-manifold. Using these conditions we provide some new examples of 5-manifolds with an irreducible \rm SO(3)-structure.

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