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The topological obstructions to the existence of an irreducible SO(3) structure on a five manifold

Marcin Bobienski
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Abstract

A nonstandard (maximal) inclusion SO(3) in SO(5) associated with the irreducible representation ρ_5 of SO(3) in R^5 is considered. The topological obstructions for admitting the SO(3) structure on the frame bundle over 5-manifold are investigated. The necessary and sufficient conditions are formulated.

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Marcin Bobienski. 2006-01-04. The topological obstructions to the existence of an irreducible SO(3) structure on a five manifold. https://arxiv.org/abs/math/0601066

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