The topological obstructions to the existence of an irreducible SO(3) structure on a five manifold
Marcin Bobienski
Abstract
A nonstandard (maximal) inclusion SO(3) in SO(5) associated with the irreducible representation ρ5 of SO(3) in R5 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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