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Minimal models of oriented Grassmannians and applications. (English) Zbl 0986.57018
The authors give an explicit description of the minimal model of the Grassmann manifold of oriented $$k$$-dimensional vector subspaces in $$\mathbb R^n$$. Several applications are given. For example, using their main result, the authors obtain an alternative proof of a classification of nilpotent real flag manifolds (consisting of unoriented flags) due to H. Glover and W. Homer [Indiana Univ. Math. J. 28, 953-956 (1979; Zbl 0398.57025)].
##### MSC:
 57N65 Algebraic topology of manifolds 55P62 Rational homotopy theory
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##### References:
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