Geodesic
Projective Homotopy Classes of Stiefel Manifolds
Canadian journal of mathematics, Tome 24 (1972) no. 3, pp. 465-476

Voir la notice de l'article provenant de la source Cambridge University Press

Given a homotopy class [f] in πn(X), we say that [f] is projective if and only if there is a homotopy commutative factorization where v is the standard double covering. We then denote by the subset of projective homotopy classes in πn(X).The notion of projective homotopy classes was studied in the author's thesis [5], and the projective homotopy classes for spheres in the stable range, up through the 3-stem were calculated in [6]. 
Strutt, Joseph. Projective Homotopy Classes of Stiefel Manifolds. Canadian journal of mathematics, Tome 24 (1972) no. 3, pp. 465-476. doi: 10.4153/CJM-1972-039-5
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