Geodesic
Totally umbilical submanifolds in $G(2,n)$. IV
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 5 (1998) no. 1, pp. 95-113 Cet article a éte moissonné depuis la source Math-Net.Ru

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This paper continues the series of the papers on the complete classification of the totally umbilical submanifolds in the Grassmann manifolds $G(2,n)$. Two-dimensional essentially totally umbilical submanifolds in $G(2,n)$ (with $n>5$) are under consideration. 
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     author = {Yu. A. Nikolaevskii},
     title = {Totally umbilical submanifolds in~$G(2,n)${.~IV}},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {95--113},
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}
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Yu. A. Nikolaevskii. Totally umbilical submanifolds in $G(2,n)$. IV. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 5 (1998) no. 1, pp. 95-113. http://geodesic.mathdoc.fr/item/JMAG_1998_5_1_a7/