The ℤ₂-cohomology cup-length of real flag manifolds
Fundamenta Mathematicae, Tome 178 (2003) no. 2, p. 143.

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Using fiberings, we determine the cup-length and the Lyusternik-Shnirel’man category for some infinite families of real flag manifolds O ( n ₁ + . . . + n q ) / O ( n ₁ ) × . . . × O ( n q ) , q ≥ 3. We also give, or describe ways to obtain, interesting estimates for the cup-length of any O ( n ₁ + . . . + n q ) / O ( n ₁ ) × . . . × O ( n q ) , q ≥ 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 ℤ₂-cohomology algebra of the Grassmann manifolds.
Classification : 55R05, 57T15, 57R19, 57R20, 55M30
Mots-clés : flag manifold, cup-length, LS-category 
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     author = {J\'ulius Korba\v{s} and Juraj L\"orinc},
     title = {The {\ensuremath{\mathbb{Z}}₂-cohomology} cup-length of real flag manifolds},
     journal = {Fundamenta Mathematicae},
     pages = {143},
     publisher = {mathdoc},
     volume = {178},
     number = {2},
     year = {2003},
     zbl = {1052.55006},
     language = {en},
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Július Korbaš; Juraj Lörinc. The ℤ₂-cohomology cup-length of real flag manifolds. Fundamenta Mathematicae, Tome 178 (2003) no. 2, p. 143. https://geodesic-test.mathdoc.fr/item/FUNDAM_2003__178_2_283181/