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Title: Stiefel-Whitney classes of the flag manifold ${\Bbb R}F(1,1,n-2)$ (English)
Author: Ajayi, Deborah O.
Author: Ilori, Samuel A.
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 52
Issue: 1
Year: 2002
Pages: 17-21
Summary lang: English
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Category: math
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Keyword: Stiefel-Whitney class
Keyword: flag manifold
Keyword: span
Keyword: fibre bundle
MSC: 55R40
MSC: 57R20
MSC: 57R25
idZBL: Zbl 0997.57039
idMR: MR1885453
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Date available: 2009-09-24T10:48:36Z
Last updated: 2020-07-03
Stable URL: http://hdl.handle.net/10338.dmlcz/127698
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Reference: [1] A.  Borel: La cohomologie $\mathop {\mathrm mod} 2$ de certains espaces homogénes.Comment. Math. Helvetici 27 (1953), 165–197. MR 0057541, 10.1007/BF02564561
Reference: [2] J. Korbaš: Vector fields on real flag manifolds.Ann. Global Anal. Geom. 3 (1985), 173–184. MR 0809636, 10.1007/BF01000338
Reference: [3] J. Korbaš: Some partial formulae for Stiefel-Whitney classes of Grassmannians.Czechoslovak Math.  J. 36 (111) (1986), 535–540. MR 0863185
Reference: [4] J. Korbaš: Note on Stiefel-Whitney classes of flag manifolds.Rend. Circ. Mat. Palermo 2 (Suppl.  16) (1987), 109–111. MR 0946716
Reference: [5] J. Korbaš and P. Zvengrowski: The vector field problem: A survey with emphasis on specific manifolds.Expo. Math. 12 (1994), 1–30. MR 1267626
Reference: [6] K. Y.  Lam: A formula for the tangent bundle of flag manifolds and related manifolds.Trans. Amer. Math. Soc. 213 (1975), 305–314. Zbl 0312.55020, MR 0431194, 10.1090/S0002-9947-1975-0431194-X
Reference: [7] J. Milnor and J. Stasheff: Characteristic Classes.Annals of Mathematics Studies vol. 76, Princeton Univ. Press, Princeton, 1974. MR 0440554
Reference: [8] E.  Thomas: On tensor products of $n$-plane bundles.Arch. Math. (Basel) X (1959), 174–179. Zbl 0192.29501, MR 0107234, 10.1007/BF01240783
Reference: [9] E. Thomas: Vector fields on manifolds.Bull. Amer. Math. Soc. 75 (1969), 643–683. Zbl 0183.51703, MR 0242189, 10.1090/S0002-9904-1969-12240-8
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