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

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.

7 pages

References in corpus (1)

• On types of non-integrable geometries

Cited by in corpus (3)

• The Srni lectures on non-integrable geometries with torsion
• Killing-Yano tensors and some applications
• Normality of the twistor space of a $5$-manifold with a $SO(3)$-structure