Abstract
The aim of this paper is the description of the integral cohomology rings of the real Stiefel manifolds $V_{n,k}$ in terms of generators and relations. The computation is carried out by using the Gysin exact sequence for the sphere bundle $S^{n-k-1} \to V_{n,k+1} \to V_{n,k}$.
Citation
Martin Čadek. Mamoru Mimura. Jiří Vanžura. "The cohomology rings of real Stiefel manifolds with integer coefficients." J. Math. Kyoto Univ. 43 (2) 411 - 428, 2003. https://doi.org/10.1215/kjm/1250283733
Information
