Geodesic
Nonimmersion results for the real flag manifolds $\mathbb{R} F(1,1,1,n-3)$
Kragujevac Journal of Mathematics, Tome 34 (2010), p. 31

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By computing non-vanishing dual Stiefel-Whitney classes of the incomplete real flag manifold of length 3, $\mathbb{R} F(1,1,1,n-3)$, $n>4$, we obtain non-immersion and non-embedding results for the manifold and give solution to the immersion / embedding problem for $n=5, 6$ and $7$ by showing that Lam's estimate are best possible for these.
Classification : 57R42 57R20 57R40
Keywords: Immersions, Embeddings, Real flag manifold, Stiefel-Whitney class, Fibre bundle 
@article{KJM_2010_34_a2,
     author = {Deborah Olayide A. Ajayi},
     title = {Nonimmersion results for the real flag manifolds $\mathbb{R} F(1,1,1,n-3)$},
     journal = {Kragujevac Journal of Mathematics},
     pages = {31 },
     publisher = {mathdoc},
     volume = {34},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2010_34_a2/}
}
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Deborah Olayide A. Ajayi. Nonimmersion results for the real flag manifolds $\mathbb{R} F(1,1,1,n-3)$. Kragujevac Journal of Mathematics, Tome 34 (2010), p. 31 . http://geodesic.mathdoc.fr/item/KJM_2010_34_a2/