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Stable parallelizability of partially oriented flag manifolds

Stable parallelizability of partially oriented flag manifolds

This paper solves the questions of stable parallelizability and parallelizability for the family of partially oriented (p.o.) flag manifolds, except for a few undecided cases.In particular, for the oriented Grassmannians G k (R n ) it is proved that apart from the spheres S 1 , S 3 , and …