Geodesic
The ${\Bbb Z}_2$-cohomology cup-length of real flag manifolds
Július Korbaš1 ; Juraj Lörinc2
1 Katedra algebry a teórie čísel Fakulta matematiky, fyziky a informatiky Univerzita Komenského Mlynská dolina SK-842 48 Bratislava 4, Slovakia
2 Národná banka Slovenska I. Karvaša 1 SK-813 25 Bratislava 1, Slovakia
Fundamenta Mathematicae, Tome 178 (2003) no. 2, pp. 143-158

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Using fiberings, we determine the cup-length and the Lyusternik–Shnirel'man category for some infinite families of real flag manifolds $O(n_1+\dots+n_q)/ O(n_1)\times\dots\times O(n_q)$, $q\geq 3$. We also give, or describe ways to obtain, interesting estimates for the cup-length of any $O(n_1+\dots+n_q)/O(n_1)\times\dots\times O(n_q)$, $q\geq 3$. To present another approach (combining well with the “method of fiberings”), we generalize to the real flag manifolds Stong's approach used for calculations in the ${\mathbb Z}_2$-cohomology algebra of the Grassmann manifolds.
DOI : 10.4064/fm178-2-4
Keywords: using fiberings determine cup length lyusternik shnirelman category infinite families real flag manifolds dots times dots times geq describe ways obtain interesting estimates cup length dots times dots times geq present another approach combining method fiberings generalize real flag manifolds stongs approach calculations mathbb cohomology algebra grassmann manifolds

Július Korbaš 1 ; Juraj Lörinc 2

1 Katedra algebry a teórie čísel Fakulta matematiky, fyziky a informatiky Univerzita Komenského Mlynská dolina SK-842 48 Bratislava 4, Slovakia
2 Národná banka Slovenska I. Karvaša 1 SK-813 25 Bratislava 1, Slovakia 
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Július Korbaš; Juraj Lörinc. The ${\Bbb Z}_2$-cohomology cup-length of real flag manifolds. Fundamenta Mathematicae, Tome 178 (2003) no. 2, pp. 143-158. doi: 10.4064/fm178-2-4

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