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The ℤ₂-cohomology cup-length of real flag manifolds

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Korbaš J., Lörinc J.

Fundamenta Mathematicae

2003

tom 178

nr 2

143-158

Using fiberings, we determine the cup-length and the Lyusternik-Shnirel'man category for some infinite families of real flag manifolds $O(n₁+...+n_q)/ O(n₁) × ... × O(n_q)$, q ≥ 3. We also give, or describe ways to obtain, interesting estimates for the cup-length of any $O(n₁+...+n_q)/O(n₁) × ... × O(n_q)$, 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.

Ograniczanie wyników

1 Fundamenta Mathematicae

1 Korbaš J.

1 Lörinc J.

1 2003

Wyniki wyszukiwania

The ℤ₂-cohomology cup-length of real flag manifolds