Geodesic
Possible complexes of three-dimensional planes in projective space $\mathbf{P}^6$ II
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2002), pp. 34-38.

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In the work possible complexes of three-dimensional planes in six-measured projective space $\mathbf{P}^6$ are studied. It's proved that one-parametric family of cones of second order with three-dimensional flats forming and univariate top, which describes unfold surface defines four-parametric possible family of planes $E^3$, which are all three-dimensional forming to this cones. It's also proved that if we take in space $\mathbf{P}^6$ four-parametric family of three-dimensional planes including fixed straight line $l$ and touching two hypercone with one general univariate top $l$ we will get possible family of three-dimensional planes. Corresponding family tangent of four-parametric family is formed by intersection of tangent hyperplanes to the cones in the sport of osculation of three- dimensional planes family with them.
Keywords: Six-measured projective space, family of cones of second order with three-dimensional flats forming. 
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V. Nersesyan. Possible complexes of three-dimensional planes in projective space $\mathbf{P}^6$ II. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2002), pp. 34-38. http://geodesic.mathdoc.fr/item/UZERU_2002_1_a4/

[1] V. A. Nersesyan, Uchenye zapiski EGU, 2001, no. 3, 35–39

[2] S. P. Finikov, Proektivno-differentsialnaya geometriya, ONTI, M.-L., 1937

[3] V. A. Nersesyan, Uchenye zapiski EGU, 1986, no. 2, 34–38 | Zbl