×

Nonimmersion results for the real flag manifolds \(\mathbb RF(1,1,1,n-3)\). (English) Zbl 1265.57008

Summary: By computing non-vanishing dual Stiefel-Whitney classes of the incomplete real flag manifold of length 3, \(\mathbb RF(1,1,1,n-3)\), \(n>4\), we obtain non-immersion and non-embedding results for the manifold and give solution to the immersion / embedding problem for \(n=5,6\) and \(7\) by showing that Lam’s estimates are best possible for these.

MSC:

57R42 Immersions in differential topology
PDFBibTeX XMLCite