Stiefel-Whitney classes of the flag manifold ${\Bbb R}F(1,1,n-2)$
Czechoslovak Mathematical Journal, Tome 52 (2002) no. 1, pp. 17-21 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 55R40, 57R20, 57R25
Keywords: Stiefel-Whitney class; flag manifold; span; fibre bundle
@article{CMJ_2002_52_1_a2,
     author = {Ajayi, Deborah O. and Ilori, Samuel A.},
     title = {Stiefel-Whitney classes of the flag manifold ${\Bbb R}F(1,1,n-2)$},
     journal = {Czechoslovak Mathematical Journal},
     pages = {17--21},
     year = {2002},
     volume = {52},
     number = {1},
     mrnumber = {1885453},
     zbl = {0997.57039},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2002_52_1_a2/}
}
TY  - JOUR
AU  - Ajayi, Deborah O.
AU  - Ilori, Samuel A.
TI  - Stiefel-Whitney classes of the flag manifold ${\Bbb R}F(1,1,n-2)$
JO  - Czechoslovak Mathematical Journal
PY  - 2002
SP  - 17
EP  - 21
VL  - 52
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/CMJ_2002_52_1_a2/
LA  - en
ID  - CMJ_2002_52_1_a2
ER  - 
%0 Journal Article
%A Ajayi, Deborah O.
%A Ilori, Samuel A.
%T Stiefel-Whitney classes of the flag manifold ${\Bbb R}F(1,1,n-2)$
%J Czechoslovak Mathematical Journal
%D 2002
%P 17-21
%V 52
%N 1
%U http://geodesic.mathdoc.fr/item/CMJ_2002_52_1_a2/
%G en
%F CMJ_2002_52_1_a2
Ajayi, Deborah O.; Ilori, Samuel A. Stiefel-Whitney classes of the flag manifold ${\Bbb R}F(1,1,n-2)$. Czechoslovak Mathematical Journal, Tome 52 (2002) no. 1, pp. 17-21. http://geodesic.mathdoc.fr/item/CMJ_2002_52_1_a2/

[1] A.  Borel: La cohomologie $\mathop {\mathrm mod} 2$ de certains espaces homogénes. Comment. Math. Helvetici 27 (1953), 165–197. | DOI | MR

[2] J. Korbaš: Vector fields on real flag manifolds. Ann. Global Anal. Geom. 3 (1985), 173–184. | DOI | MR

[3] J. Korbaš: Some partial formulae for Stiefel-Whitney classes of Grassmannians. Czechoslovak Math.  J. 36 (111) (1986), 535–540. | MR

[4] J. Korbaš: Note on Stiefel-Whitney classes of flag manifolds. Rend. Circ. Mat. Palermo 2 (Suppl.  16) (1987), 109–111. | MR

[5] J. Korbaš and P. Zvengrowski: The vector field problem: A survey with emphasis on specific manifolds. Expo. Math. 12 (1994), 1–30. | MR

[6] K. Y.  Lam: A formula for the tangent bundle of flag manifolds and related manifolds. Trans. Amer. Math. Soc. 213 (1975), 305–314. | DOI | MR | Zbl

[7] J. Milnor and J. Stasheff: Characteristic Classes. Annals of Mathematics Studies vol. 76, Princeton Univ. Press, Princeton, 1974. | MR

[8] E.  Thomas: On tensor products of $n$-plane bundles. Arch. Math. (Basel) X (1959), 174–179. | DOI | MR | Zbl

[9] E. Thomas: Vector fields on manifolds. Bull. Amer. Math. Soc. 75 (1969), 643–683. | DOI | MR | Zbl