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

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

2006-01-04

arxiv.org/abs/math/0601066v1

Mathematics

Differential Geometry

7 pages

Scientific paper

A nonstandard (maximal) inclusion SO(3) in SO(5) associated with the
irreducible representation \rho_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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