On maximality of the cup-length of flag manifolds
Acta Mathematica Hungarica(2016)
摘要
We investigate which real flag manifolds of the form F(1,…,1,2,…,2,m) have the ℤ_2 -cup-length equal to the dimension. We obtain a complete classification of such manifolds of the form F(1,…,1,2,m) and F(1,…,1,2,2,m) . Additionally, we provide an infinite family of manifolds F(1,…,1,2,…,2,m) which give the negative answer to a question from J. Korbaš and J. Lörinc [ 5 ].
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关键词
flag manifold,Stiefel–Whitney class,cup-length,Lyusternik-Shnirel’man category
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