| Title:
|
A note on the height of the third Stiefel--Whitney class of the canonical vector bundles over some Grassmann manifolds (English) |
| Author:
|
Balko, Ľudovít |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
62 |
| Issue:
|
2 |
| Year:
|
2021 |
| Pages:
|
169-174 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We compute the height of the third Stiefel--Whitney characteristic class of the canonical bundles over some infinite classes of Grassmann manifolds of five dimensional vector subspaces of real vector spaces. (English) |
| Keyword:
|
Grassmann manifold |
| Keyword:
|
height of Stiefel--Whitney characteristic class |
| MSC:
|
57N65 |
| MSC:
|
57R20 |
| idZBL:
|
Zbl 07396217 |
| idMR:
|
MR4303576 |
| DOI:
|
10.14712/1213-7243.2021.012 |
| . |
| Date available:
|
2021-07-28T08:33:55Z |
| Last updated:
|
2023-07-24 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149010 |
| . |
| Reference:
|
[1] Balko L'., Lörinc J.: On the cup-length of certain classes of flag manifolds.Acta Math. Hungar. 159 (2019), no. 2, 638–652. MR 4022154, 10.1007/s10474-019-00935-4 |
| Reference:
|
[2] Dutta S., Khare S. S.: On second Stiefel–Whitney class of Grassmann manifolds and cuplength.J. Indian Math. Soc. (N.S.) 69 (2002), no. 1–4, 237–251. MR 2027056 |
| Reference:
|
[3] Milnor J. W., Stasheff J. D.: Characteristic Classes.Annals of Mathematics Studies, 76, Princeton University Press, Princeton, University of Tokyo Press, Tokyo, 1974. Zbl 1079.57504, MR 0440554 |
| Reference:
|
[4] Stong R. E.: Cup products in Grassmannians.Topology Appl. 13 (1982), no. 1, 103–113. MR 0637432, 10.1016/0166-8641(82)90012-8 |
| . |
