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

Publication date: 4 January 2006

Abstract: A nonstandard (maximal) inclusion SO(3) in SO(5) associated with the irreducible representation ho_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.

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) (G)-structures (53C10)

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