×

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
PDF BibTeX XML Cite