# zbMATH — the first resource for mathematics

On some properties of characteristic lines of the five-dimensional complex of two-dimensional planes in the projective space $$P^ 5$$. (English) Zbl 0880.53011
Summary: The geometry of five-dimensional complexes $$K$$ of two-dimensional planes $$L$$ in the five-dimensional projective space $$P^5$$ is studied. Five-dimensional complexes described by a characteristic line $$\ell\subset L$$ are characterized. A condition is given for a characteristic line to be double.
##### MSC:
 53A20 Projective differential geometry 53A25 Differential line geometry
##### Keywords:
differential form; projective frame; tangent coordinates; torse