Geodesic
About the structure of five-dimensional complexes of two-dimensional planes in projective space $P^5$ with a single developable surface
Matematičeskie zametki SVFU, Tome 24 (2017) no. 2, pp. 3-12 Cet article a éte moissonné depuis la source Math-Net.Ru

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This article focuses on projective differential geometry of submanifolds of $2$-dimensional planes manifolds $G(2, 5)$ in projective space $P^5$ containing single developable surface. To study such submanifolds we use the Grassmann mapping of manifold $G(2, 5)$ of $2$-dimensional planes in projective space $P^5$ to $9$-dimensional algebraic manifold $\Omega (2, 5)$ of space $P^19$. This mapping combined with the method of external Cartan's forms and moving frame method made possible to determine the structure of considered manifolds.
Keywords: Grassmann manifold, complexes of multidimensional planes, Grassmann mapping, Segre manifold. 
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I. V. Bubyakin. About the structure of five-dimensional complexes of two-dimensional planes in projective space $P^5$ with a single developable surface. Matematičeskie zametki SVFU, Tome 24 (2017) no. 2, pp. 3-12. http://geodesic.mathdoc.fr/item/SVFU_2017_24_2_a0/

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