A note on the topology of irreducible {rm SO}(3)-manifolds
classification
🧮 math.AT
math.DG
keywords
irreducibleconditionsmanifoldsstructureexamplesexistencegivemanifold
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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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