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math.DG2006★ 5 cited
The topological obstructions to the existence of an irreducible SO(3) structure on a five manifold
Marcin Bobienski
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…
math.DG2005
and Lipschitz structures on products of manifolds
Marcin Bobienski, Andrzej Trautman
The topological condition for the existence of a structure on the product of two Riemannian manifolds is derived and applied to construct examples of manifolds having the w…