Title:
|
On the Stiefel-Whitney classes and the span of real Grassmannians (English) |
Author:
|
Korbaš, Július |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
36 |
Issue:
|
4 |
Year:
|
1986 |
Pages:
|
541-552 |
Summary lang:
|
Russian |
. |
Category:
|
math |
. |
MSC:
|
57R20 |
MSC:
|
57T15 |
idZBL:
|
Zbl 0622.57018 |
idMR:
|
MR863186 |
DOI:
|
10.21136/CMJ.1986.102115 |
. |
Date available:
|
2008-06-09T15:12:36Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102115 |
. |
Reference:
|
[1] Adams J. F.: Vector fields on spheres.Ann. Math. 75, 603 - 632 (1962). Zbl 0112.38102, MR 0139178, 10.2307/1970213 |
Reference:
|
[2] Andrews G. E.: The theory of partitions.Encyclopedia of Mathematics and its Applications 2. London, Amsterdam, Don Mills-Ontario, Sydney, Tokyo: Addison-Wesley Publishing Company 1976. Zbl 0371.10001, MR 0557013 |
Reference:
|
[3] Bartík V., Korbaš J.: Stiefel-Whitney characteristic classes and parallelizability of Grassmann manifolds.Rend. Circ. Mat. Palermo (2) (Suppl. 6), 19-29 (1984). MR 0782702 |
Reference:
|
[4] Borel A.: La cohomologie mod 2 de certains espaces homogènes.Comment. Math. Helvetici 27, 165-197 (1953). MR 0057541, 10.1007/BF02564561 |
Reference:
|
[5] Hsiang W. С, Szczarba R. H.: On the tangent bundle of a Grassmann manifold.Amer. J. Math. 86, 698-704 (1964). MR 0172304, 10.2307/2373153 |
Reference:
|
[6] Korbaš J.: Vector fields on real flag manifolds.Ann. Glob. Analysis and Geometry 3, 173-184 (1985). MR 0809636, 10.1007/BF01000338 |
Reference:
|
[7] Korbaš J.: Some partial formulae for Stiefel-Whitney classes of Grassmannians.(to appear). MR 0863185 |
Reference:
|
[8] Leite M. L., de Miatello I. D.: Linear vector fields on $\tilde{G}_k(R^n)$.Proc. Amer. Math. Soc. 80, 673-677 (1980). MR 0587953, 10.1090/S0002-9939-1980-0587953-3 |
Reference:
|
[9] Milnor J. W., Stasheff J. D.: Characteristic classes.Annals of Mathematics Studies 16. Princeton: Princeton University Press 1974. Zbl 0298.57008, MR 0440554 |
Reference:
|
[10] Thomas E.: On tensor products of $n$-plane bundles.Arch. Math. X, 174-179 (1959). Zbl 0192.29501, MR 0107234, 10.1007/BF01240783 |
Reference:
|
[11] Thomas E.: Postnikov invariants and higher order cohomology operations.Ann. Math. 85, 184-217 (1967). Zbl 0152.22002, MR 0210135, 10.2307/1970439 |
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