The parallelizability of the Stiefel manifolds $V_{k}(R^{n}):$ $k\geq 3$
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- by Larry Smith PDF
- Proc. Amer. Math. Soc. 69 (1978), 201-202 Request permission
Abstract:
The purpose of this note is to prove the result stated in the title by constructing a Gauss map for the standard embedding ${V_k}({{\mathbf {R}}^n}) \subset {{\mathbf {R}}^{nk}}$.References
- Hillel H. Gershenson, On framed cobordism classes representable on a fixed manifold, Math. Z. 122 (1971), 189–202. MR 296959, DOI 10.1007/BF01109913
- Kee Yuen Lam, A formula for the tangent bundle of flag manifolds and related manifolds, Trans. Amer. Math. Soc. 213 (1975), 305–314. MR 431194, DOI 10.1090/S0002-9947-1975-0431194-X
- W. A. Sutherland, A note on the parallelizability of sphere-bundles over spheres, J. London Math. Soc. 39 (1964), 55–62. MR 175142, DOI 10.1112/jlms/s1-39.1.55
Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 69 (1978), 201-202
- MSC: Primary 57D25
- DOI: https://doi.org/10.1090/S0002-9939-1978-0467766-4
- MathSciNet review: 0467766