Geodesic
On real flag manifolds with cup-length equal to its dimension
Czechoslovak Mathematical Journal, Tome 70 (2020) no. 2, pp. 299-310
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We prove that for any positive integers $n_1,n_2,\ldots ,n_k$ there exists a real flag manifold $F(1,\ldots ,1,n_1,n_2,\ldots ,n_k)$ with cup-length equal to its dimension. Additionally, we give a necessary condition that an arbitrary real flag manifold needs to satisfy in order to have cup-length equal to its dimension.
We prove that for any positive integers $n_1,n_2,\ldots ,n_k$ there exists a real flag manifold $F(1,\ldots ,1,n_1,n_2,\ldots ,n_k)$ with cup-length equal to its dimension. Additionally, we give a necessary condition that an arbitrary real flag manifold needs to satisfy in order to have cup-length equal to its dimension.
DOI : 10.21136/CMJ.2019.0283-18
Classification : 14M15, 55M30, 57N65
Keywords: cup-length; flag manifold; Lyusternik-Shnirel'man category 
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Radovanović, Marko. On real flag manifolds with cup-length equal to its dimension. Czechoslovak Mathematical Journal, Tome 70 (2020) no. 2, pp. 299-310. doi: 10.21136/CMJ.2019.0283-18

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