The order of the Hopf bundle on projective Stiefel manifolds
Sankaran, Parameswaran ; Zvengrowski, Peter
Fundamenta Mathematicae, Tome 159 (1999), p. 225-233 / Harvested from The Polish Digital Mathematics Library
Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:212402
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     author = {Parameswaran Sankaran and Peter Zvengrowski},
     title = {The order of the Hopf bundle on projective Stiefel manifolds},
     journal = {Fundamenta Mathematicae},
     volume = {159},
     year = {1999},
     pages = {225-233},
     zbl = {0935.55001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv161i1p225bwm}
}
Sankaran, Parameswaran; Zvengrowski, Peter. The order of the Hopf bundle on projective Stiefel manifolds. Fundamenta Mathematicae, Tome 159 (1999) pp. 225-233. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv161i1p225bwm/

[00000] [1] Adams, J. F., Vector fields on spheres, Ann. of Math. 75 (1962), 603-632. | Zbl 0112.38102

[00001] [2] Adams, J. F., Lectures on Lie Groups, Univ. Chicago Press, Midway reprint, 1982. | Zbl 0206.31604

[00002] [3] Antoniano, E., Gitler, S., Ucci, J., and Zvengrowski, P., On the K-theory and parallelizability of projective Stiefel manifolds, Bol. Soc. Mat. Mexicana 31 (1986), 29-46. | Zbl 0665.57017

[00003] [4] Atiyah, M. F., and Hirzebruch, F., Vector bundles and homogeneous spaces, in: Proc. Sympos. Pure Math. 3, Amer. Math. Soc., 1961, 7-38. | Zbl 0108.17705

[00004] [5] Barufatti, N., Obstructions to immersions of projective Stiefel manifolds, in: Contemp. Math. 161, Amer. Math. Soc., 1994, 281-287. | Zbl 0833.57015

[00005] [6] Barufatti, N., and Hacon, D., K-theory of projective Stiefel manifolds, to appear. | Zbl 0945.55006

[00006] [7] Gitler, S., and Handel, D., The projective Stiefel manifolds - I, Topology 7 (1968), 39-46. | Zbl 0166.19405

[00007] [8] Hodgkin, L., The equivariant Künneth theorem in K-theory, in: Lecture Notes in Math. 496, Springer, 1969, 1-101.

[00008] [9] Husemoller, D., Fibre Bundles, 2nd ed., Grad. Texts in Math. 20, Springer, 1975. | Zbl 0307.55015

[00009] [10] Korbaš, J., and Zvengrowski, P., On sectioning tangent bundles and other vector bundles, Rend. Circ. Mat. Palermo (2) Suppl. 39 (1996), 85-104. | Zbl 0856.58004

[00010] [11] Lam, K. Y., A formula for the tangent bundle of flag manifolds and related manifolds, Trans. Amer. Math. Soc. 213 (1975), 305-314. | Zbl 0312.55020

[00011] [12] Milnor, J., and Stasheff, J., Characteristic Classes, Ann. of Math. Stud. 76, Princeton Univ. Press, Princeton, 1974. | Zbl 0298.57008

[00012] [13] Pittie, H. V., Homogeneous vector bundles on homogeneous spaces, Topology 11 (1972), 199-204. | Zbl 0229.57017

[00013] [14] Smith, L., Some remarks on projective Stiefel manifolds, immersions of projective spaces, and spheres, Proc. Amer. Math. Soc. 80 (1980), 663-669. | Zbl 0452.57013

[00014] [15] P. Zvengrowski et al., The order of line bundles, preprint. | Zbl 1063.55001