Geodesic
Nonimmersion results for the real flag manifolds $\mathbb{R} F(1,1,1,n-3)$
Kragujevac Journal of Mathematics, Tome 34 (2010) no. 1 
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) no. 1. http://geodesic.mathdoc.fr/item/KJM_2010_34_1_a2/
@article{KJM_2010_34_1_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 - 38},
     year = {2010},
     volume = {34},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/KJM_2010_34_1_a2/}
}
TY  - JOUR
AU  - Deborah Olayide A. Ajayi
TI  - Nonimmersion results for the real flag manifolds $\mathbb{R} F(1,1,1,n-3)$
JO  - Kragujevac Journal of Mathematics
PY  - 2010
SP  - 31 
EP  -  38
VL  - 34
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/KJM_2010_34_1_a2/
ID  - KJM_2010_34_1_a2
ER  - 
%0 Journal Article
%A Deborah Olayide A. Ajayi
%T Nonimmersion results for the real flag manifolds $\mathbb{R} F(1,1,1,n-3)$
%J Kragujevac Journal of Mathematics
%D 2010
%P 31 - 38
%V 34
%N 1
%U http://geodesic.mathdoc.fr/item/KJM_2010_34_1_a2/
%F KJM_2010_34_1_a2

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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.