The order of the Hopf bundle on projective Stiefel manifolds

Parameswaran Sankaran; Peter Zvengrowski

Fundamenta Mathematicae (1999)

  • Volume: 161, Issue: 1-2, page 225-233
  • ISSN: 0016-2736

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Sankaran, Parameswaran, and Zvengrowski, Peter. "The order of the Hopf bundle on projective Stiefel manifolds." Fundamenta Mathematicae 161.1-2 (1999): 225-233. <http://eudml.org/doc/212402>.

@article{Sankaran1999,
abstract = {},
author = {Sankaran, Parameswaran, Zvengrowski, Peter},
journal = {Fundamenta Mathematicae},
keywords = {Stiefel manifold},
language = {eng},
number = {1-2},
pages = {225-233},
title = {The order of the Hopf bundle on projective Stiefel manifolds},
url = {http://eudml.org/doc/212402},
volume = {161},
year = {1999},
}

TY - JOUR
AU - Sankaran, Parameswaran
AU - Zvengrowski, Peter
TI - The order of the Hopf bundle on projective Stiefel manifolds
JO - Fundamenta Mathematicae
PY - 1999
VL - 161
IS - 1-2
SP - 225
EP - 233
AB -
LA - eng
KW - Stiefel manifold
UR - http://eudml.org/doc/212402
ER -

References

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  1. [1] Adams, J. F., Vector fields on spheres, Ann. of Math. 75 (1962), 603-632. Zbl0112.38102
  2. [2] Adams, J. F., Lectures on Lie Groups, Univ. Chicago Press, Midway reprint, 1982. Zbl0206.31604
  3. [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. Zbl0665.57017
  4. [4] Atiyah, M. F., and Hirzebruch, F., Vector bundles and homogeneous spaces, in: Proc. Sympos. Pure Math. 3, Amer. Math. Soc., 1961, 7-38. Zbl0108.17705
  5. [5] Barufatti, N., Obstructions to immersions of projective Stiefel manifolds, in: Contemp. Math. 161, Amer. Math. Soc., 1994, 281-287. Zbl0833.57015
  6. [6] Barufatti, N., and Hacon, D., K-theory of projective Stiefel manifolds, to appear. Zbl0945.55006
  7. [7] Gitler, S., and Handel, D., The projective Stiefel manifolds - I, Topology 7 (1968), 39-46. Zbl0166.19405
  8. [8] Hodgkin, L., The equivariant Künneth theorem in K-theory, in: Lecture Notes in Math. 496, Springer, 1969, 1-101. 
  9. [9] Husemoller, D., Fibre Bundles, 2nd ed., Grad. Texts in Math. 20, Springer, 1975. Zbl0307.55015
  10. [10] Korbaš, J., and Zvengrowski, P., On sectioning tangent bundles and other vector bundles, Rend. Circ. Mat. Palermo (2) Suppl. 39 (1996), 85-104. Zbl0856.58004
  11. [11] Lam, K. Y., A formula for the tangent bundle of flag manifolds and related manifolds, Trans. Amer. Math. Soc. 213 (1975), 305-314. Zbl0312.55020
  12. [12] Milnor, J., and Stasheff, J., Characteristic Classes, Ann. of Math. Stud. 76, Princeton Univ. Press, Princeton, 1974. Zbl0298.57008
  13. [13] Pittie, H. V., Homogeneous vector bundles on homogeneous spaces, Topology 11 (1972), 199-204. Zbl0229.57017
  14. [14] Smith, L., Some remarks on projective Stiefel manifolds, immersions of projective spaces, and spheres, Proc. Amer. Math. Soc. 80 (1980), 663-669. Zbl0452.57013
  15. [15] P. Zvengrowski et al., The order of line bundles, preprint. Zbl1063.55001

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